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Finding the Fourth Proportional to 616.12, 926.64 and 560.26

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Solution

The fourth proportional to 616.12, 926.64 and 560.26 is: 842.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.12 : 926.64 = 560.26 : x
  2. Step 2: Convert to fraction form
    616.12/926.64 = 560.26/x
  3. Step 3: Cross multiply
    616.12x = 926.64 × 560.26
  4. Step 4: Simplify right side
    616.12x = 519,159.33
  5. Step 5: Solve for x
    x = 519,159.33/616.12
  6. Step 6: Final answer
    x = 842.63

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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.