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Finding the Fourth Proportional to 616.01, 927.65 and 535.82

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Solution

The fourth proportional to 616.01, 927.65 and 535.82 is: 806.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.01 : 927.65 = 535.82 : x
  2. Step 2: Convert to fraction form
    616.01/927.65 = 535.82/x
  3. Step 3: Cross multiply
    616.01x = 927.65 × 535.82
  4. Step 4: Simplify right side
    616.01x = 497,050.12
  5. Step 5: Solve for x
    x = 497,050.12/616.01
  6. Step 6: Final answer
    x = 806.89

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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.