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Finding the Fourth Proportional to 1,048.51, 1,446.69 and 582.76

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Solution

The fourth proportional to 1,048.51, 1,446.69 and 582.76 is: 804.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.51 : 1,446.69 = 582.76 : x
  2. Step 2: Convert to fraction form
    1,048.51/1,446.69 = 582.76/x
  3. Step 3: Cross multiply
    1,048.51x = 1,446.69 × 582.76
  4. Step 4: Simplify right side
    1,048.51x = 843,073.06
  5. Step 5: Solve for x
    x = 843,073.06/1,048.51
  6. Step 6: Final answer
    x = 804.07

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.