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Finding the Fourth Proportional to 1,047.96, 1,446.21 and 582.18

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Solution

The fourth proportional to 1,047.96, 1,446.21 and 582.18 is: 803.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.96 : 1,446.21 = 582.18 : x
  2. Step 2: Convert to fraction form
    1,047.96/1,446.21 = 582.18/x
  3. Step 3: Cross multiply
    1,047.96x = 1,446.21 × 582.18
  4. Step 4: Simplify right side
    1,047.96x = 841,954.54
  5. Step 5: Solve for x
    x = 841,954.54/1,047.96
  6. Step 6: Final answer
    x = 803.42

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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.