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Finding the Fourth Proportional to 616.61, 848.67 and 491.87

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Solution

The fourth proportional to 616.61, 848.67 and 491.87 is: 676.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.61 : 848.67 = 491.87 : x
  2. Step 2: Convert to fraction form
    616.61/848.67 = 491.87/x
  3. Step 3: Cross multiply
    616.61x = 848.67 × 491.87
  4. Step 4: Simplify right side
    616.61x = 417,435.31
  5. Step 5: Solve for x
    x = 417,435.31/616.61
  6. Step 6: Final answer
    x = 676.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.