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Finding the Fourth Proportional to 702.86, 1,054.53 and 378.47

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Solution

The fourth proportional to 702.86, 1,054.53 and 378.47 is: 567.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.86 : 1,054.53 = 378.47 : x
  2. Step 2: Convert to fraction form
    702.86/1,054.53 = 378.47/x
  3. Step 3: Cross multiply
    702.86x = 1,054.53 × 378.47
  4. Step 4: Simplify right side
    702.86x = 399,107.97
  5. Step 5: Solve for x
    x = 399,107.97/702.86
  6. Step 6: Final answer
    x = 567.83

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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.