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Finding the Fourth Proportional to 1,254.25, 1,730.87 and 702.25

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Solution

The fourth proportional to 1,254.25, 1,730.87 and 702.25 is: 969.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.25 : 1,730.87 = 702.25 : x
  2. Step 2: Convert to fraction form
    1,254.25/1,730.87 = 702.25/x
  3. Step 3: Cross multiply
    1,254.25x = 1,730.87 × 702.25
  4. Step 4: Simplify right side
    1,254.25x = 1,215,503.46
  5. Step 5: Solve for x
    x = 1,215,503.46/1,254.25
  6. Step 6: Final answer
    x = 969.11

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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.