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Finding the Fourth Proportional to 1,291.60, 1,782.42 and 702.14

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Solution

The fourth proportional to 1,291.60, 1,782.42 and 702.14 is: 968.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.60 : 1,782.42 = 702.14 : x
  2. Step 2: Convert to fraction form
    1,291.60/1,782.42 = 702.14/x
  3. Step 3: Cross multiply
    1,291.60x = 1,782.42 × 702.14
  4. Step 4: Simplify right side
    1,291.60x = 1,251,503.52
  5. Step 5: Solve for x
    x = 1,251,503.52/1,291.60
  6. Step 6: Final answer
    x = 968.96

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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.