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Finding the Fourth Proportional to 1,144.55, 1,578.65 and 702.69

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Solution

The fourth proportional to 1,144.55, 1,578.65 and 702.69 is: 969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.55 : 1,578.65 = 702.69 : x
  2. Step 2: Convert to fraction form
    1,144.55/1,578.65 = 702.69/x
  3. Step 3: Cross multiply
    1,144.55x = 1,578.65 × 702.69
  4. Step 4: Simplify right side
    1,144.55x = 1,109,298.06
  5. Step 5: Solve for x
    x = 1,109,298.06/1,144.55
  6. Step 6: Final answer
    x = 969.20

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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.