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Finding the Fourth Proportional to 710.74, 1,066.78 and 437.36

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Solution

The fourth proportional to 710.74, 1,066.78 and 437.36 is: 656.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.74 : 1,066.78 = 437.36 : x
  2. Step 2: Convert to fraction form
    710.74/1,066.78 = 437.36/x
  3. Step 3: Cross multiply
    710.74x = 1,066.78 × 437.36
  4. Step 4: Simplify right side
    710.74x = 466,566.90
  5. Step 5: Solve for x
    x = 466,566.90/710.74
  6. Step 6: Final answer
    x = 656.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.