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Finding the Fourth Proportional to 1,130.92, 1,702.33 and 963.88

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Solution

The fourth proportional to 1,130.92, 1,702.33 and 963.88 is: 1,450.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.92 : 1,702.33 = 963.88 : x
  2. Step 2: Convert to fraction form
    1,130.92/1,702.33 = 963.88/x
  3. Step 3: Cross multiply
    1,130.92x = 1,702.33 × 963.88
  4. Step 4: Simplify right side
    1,130.92x = 1,640,841.84
  5. Step 5: Solve for x
    x = 1,640,841.84/1,130.92
  6. Step 6: Final answer
    x = 1,450.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.