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Finding the Fourth Proportional to 1,047.47, 1,446.62 and 716.76

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Solution

The fourth proportional to 1,047.47, 1,446.62 and 716.76 is: 989.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.47 : 1,446.62 = 716.76 : x
  2. Step 2: Convert to fraction form
    1,047.47/1,446.62 = 716.76/x
  3. Step 3: Cross multiply
    1,047.47x = 1,446.62 × 716.76
  4. Step 4: Simplify right side
    1,047.47x = 1,036,875.77
  5. Step 5: Solve for x
    x = 1,036,875.77/1,047.47
  6. Step 6: Final answer
    x = 989.89

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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.