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Finding the Fourth Proportional to 1,291.46, 1,782.21 and 702.02

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Solution

The fourth proportional to 1,291.46, 1,782.21 and 702.02 is: 968.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.46 : 1,782.21 = 702.02 : x
  2. Step 2: Convert to fraction form
    1,291.46/1,782.21 = 702.02/x
  3. Step 3: Cross multiply
    1,291.46x = 1,782.21 × 702.02
  4. Step 4: Simplify right side
    1,291.46x = 1,251,147.06
  5. Step 5: Solve for x
    x = 1,251,147.06/1,291.46
  6. Step 6: Final answer
    x = 968.78

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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.