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Finding the Fourth Proportional to 702.59, 1,057.55 and 596.89

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Solution

The fourth proportional to 702.59, 1,057.55 and 596.89 is: 898.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.59 : 1,057.55 = 596.89 : x
  2. Step 2: Convert to fraction form
    702.59/1,057.55 = 596.89/x
  3. Step 3: Cross multiply
    702.59x = 1,057.55 × 596.89
  4. Step 4: Simplify right side
    702.59x = 631,241.02
  5. Step 5: Solve for x
    x = 631,241.02/702.59
  6. Step 6: Final answer
    x = 898.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.