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Finding the Fourth Proportional to 710.64, 1,066.26 and 494.58

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Solution

The fourth proportional to 710.64, 1,066.26 and 494.58 is: 742.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.64 : 1,066.26 = 494.58 : x
  2. Step 2: Convert to fraction form
    710.64/1,066.26 = 494.58/x
  3. Step 3: Cross multiply
    710.64x = 1,066.26 × 494.58
  4. Step 4: Simplify right side
    710.64x = 527,350.87
  5. Step 5: Solve for x
    x = 527,350.87/710.64
  6. Step 6: Final answer
    x = 742.08

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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.