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Finding the Fourth Proportional to 702.47, 968.82 and 513.65

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Solution

The fourth proportional to 702.47, 968.82 and 513.65 is: 708.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.47 : 968.82 = 513.65 : x
  2. Step 2: Convert to fraction form
    702.47/968.82 = 513.65/x
  3. Step 3: Cross multiply
    702.47x = 968.82 × 513.65
  4. Step 4: Simplify right side
    702.47x = 497,634.39
  5. Step 5: Solve for x
    x = 497,634.39/702.47
  6. Step 6: Final answer
    x = 708.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.