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Finding the Fourth Proportional to 613.81, 921.64 and 587.89

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Solution

The fourth proportional to 613.81, 921.64 and 587.89 is: 882.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.81 : 921.64 = 587.89 : x
  2. Step 2: Convert to fraction form
    613.81/921.64 = 587.89/x
  3. Step 3: Cross multiply
    613.81x = 921.64 × 587.89
  4. Step 4: Simplify right side
    613.81x = 541,822.94
  5. Step 5: Solve for x
    x = 541,822.94/613.81
  6. Step 6: Final answer
    x = 882.72

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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.