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Finding the Fourth Proportional to 1,291.50, 1,782.30 and 702.04

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Solution

The fourth proportional to 1,291.50, 1,782.30 and 702.04 is: 968.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.50 : 1,782.30 = 702.04 : x
  2. Step 2: Convert to fraction form
    1,291.50/1,782.30 = 702.04/x
  3. Step 3: Cross multiply
    1,291.50x = 1,782.30 × 702.04
  4. Step 4: Simplify right side
    1,291.50x = 1,251,243.16
  5. Step 5: Solve for x
    x = 1,251,243.16/1,291.50
  6. Step 6: Final answer
    x = 968.83

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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.