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Finding the Fourth Proportional to 759.54, 1,140.12 and 616.98

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Solution

The fourth proportional to 759.54, 1,140.12 and 616.98 is: 926.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.54 : 1,140.12 = 616.98 : x
  2. Step 2: Convert to fraction form
    759.54/1,140.12 = 616.98/x
  3. Step 3: Cross multiply
    759.54x = 1,140.12 × 616.98
  4. Step 4: Simplify right side
    759.54x = 703,431.24
  5. Step 5: Solve for x
    x = 703,431.24/759.54
  6. Step 6: Final answer
    x = 926.13

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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.