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Finding the Fourth Proportional to 1,066.35, 1,470.99 and 646.91

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Solution

The fourth proportional to 1,066.35, 1,470.99 and 646.91 is: 892.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.35 : 1,470.99 = 646.91 : x
  2. Step 2: Convert to fraction form
    1,066.35/1,470.99 = 646.91/x
  3. Step 3: Cross multiply
    1,066.35x = 1,470.99 × 646.91
  4. Step 4: Simplify right side
    1,066.35x = 951,598.14
  5. Step 5: Solve for x
    x = 951,598.14/1,066.35
  6. Step 6: Final answer
    x = 892.39

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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.