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Finding the Fourth Proportional to 702.70, 1,054.15 and 337.19

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Solution

The fourth proportional to 702.70, 1,054.15 and 337.19 is: 505.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.70 : 1,054.15 = 337.19 : x
  2. Step 2: Convert to fraction form
    702.70/1,054.15 = 337.19/x
  3. Step 3: Cross multiply
    702.70x = 1,054.15 × 337.19
  4. Step 4: Simplify right side
    702.70x = 355,442.72
  5. Step 5: Solve for x
    x = 355,442.72/702.70
  6. Step 6: Final answer
    x = 505.83

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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.