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Finding the Fourth Proportional to 702.52, 1,051.62 and 414.52

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Solution

The fourth proportional to 702.52, 1,051.62 and 414.52 is: 620.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.52 : 1,051.62 = 414.52 : x
  2. Step 2: Convert to fraction form
    702.52/1,051.62 = 414.52/x
  3. Step 3: Cross multiply
    702.52x = 1,051.62 × 414.52
  4. Step 4: Simplify right side
    702.52x = 435,917.52
  5. Step 5: Solve for x
    x = 435,917.52/702.52
  6. Step 6: Final answer
    x = 620.51

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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.