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Finding the Fourth Proportional to 1,291.80, 1,782.68 and 702.34

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Solution

The fourth proportional to 1,291.80, 1,782.68 and 702.34 is: 969.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.80 : 1,782.68 = 702.34 : x
  2. Step 2: Convert to fraction form
    1,291.80/1,782.68 = 702.34/x
  3. Step 3: Cross multiply
    1,291.80x = 1,782.68 × 702.34
  4. Step 4: Simplify right side
    1,291.80x = 1,252,049.23
  5. Step 5: Solve for x
    x = 1,252,049.23/1,291.80
  6. Step 6: Final answer
    x = 969.23

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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.