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Finding the Fourth Proportional to 702.69, 1,054.07 and 337.59

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Solution

The fourth proportional to 702.69, 1,054.07 and 337.59 is: 506.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.69 : 1,054.07 = 337.59 : x
  2. Step 2: Convert to fraction form
    702.69/1,054.07 = 337.59/x
  3. Step 3: Cross multiply
    702.69x = 1,054.07 × 337.59
  4. Step 4: Simplify right side
    702.69x = 355,843.49
  5. Step 5: Solve for x
    x = 355,843.49/702.69
  6. Step 6: Final answer
    x = 506.40

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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.