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Finding the Fourth Proportional to 1,291.68, 1,782.52 and 702.23

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Solution

The fourth proportional to 1,291.68, 1,782.52 and 702.23 is: 969.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.68 : 1,782.52 = 702.23 : x
  2. Step 2: Convert to fraction form
    1,291.68/1,782.52 = 702.23/x
  3. Step 3: Cross multiply
    1,291.68x = 1,782.52 × 702.23
  4. Step 4: Simplify right side
    1,291.68x = 1,251,739.02
  5. Step 5: Solve for x
    x = 1,251,739.02/1,291.68
  6. Step 6: Final answer
    x = 969.08

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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.