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Finding the Fourth Proportional to 616.88, 926.13 and 565.94

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Solution

The fourth proportional to 616.88, 926.13 and 565.94 is: 849.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.88 : 926.13 = 565.94 : x
  2. Step 2: Convert to fraction form
    616.88/926.13 = 565.94/x
  3. Step 3: Cross multiply
    616.88x = 926.13 × 565.94
  4. Step 4: Simplify right side
    616.88x = 524,126.55
  5. Step 5: Solve for x
    x = 524,126.55/616.88
  6. Step 6: Final answer
    x = 849.65

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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.