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Finding the Fourth Proportional to 1,066.16, 1,470.54 and 711.90

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Solution

The fourth proportional to 1,066.16, 1,470.54 and 711.90 is: 981.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.16 : 1,470.54 = 711.90 : x
  2. Step 2: Convert to fraction form
    1,066.16/1,470.54 = 711.90/x
  3. Step 3: Cross multiply
    1,066.16x = 1,470.54 × 711.90
  4. Step 4: Simplify right side
    1,066.16x = 1,046,877.43
  5. Step 5: Solve for x
    x = 1,046,877.43/1,066.16
  6. Step 6: Final answer
    x = 981.91

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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.