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Finding the Fourth Proportional to 1,135.73, 1,702.88 and 510.41

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Solution

The fourth proportional to 1,135.73, 1,702.88 and 510.41 is: 765.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.73 : 1,702.88 = 510.41 : x
  2. Step 2: Convert to fraction form
    1,135.73/1,702.88 = 510.41/x
  3. Step 3: Cross multiply
    1,135.73x = 1,702.88 × 510.41
  4. Step 4: Simplify right side
    1,135.73x = 869,155.91
  5. Step 5: Solve for x
    x = 869,155.91/1,135.73
  6. Step 6: Final answer
    x = 765.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.