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Finding the Fourth Proportional to 710.78, 1,064.29 and 557.02

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Solution

The fourth proportional to 710.78, 1,064.29 and 557.02 is: 834.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.78 : 1,064.29 = 557.02 : x
  2. Step 2: Convert to fraction form
    710.78/1,064.29 = 557.02/x
  3. Step 3: Cross multiply
    710.78x = 1,064.29 × 557.02
  4. Step 4: Simplify right side
    710.78x = 592,830.82
  5. Step 5: Solve for x
    x = 592,830.82/710.78
  6. Step 6: Final answer
    x = 834.06

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