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Finding the Fourth Proportional to 877.61, 1,316.15 and 466.52

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Solution

The fourth proportional to 877.61, 1,316.15 and 466.52 is: 699.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.61 : 1,316.15 = 466.52 : x
  2. Step 2: Convert to fraction form
    877.61/1,316.15 = 466.52/x
  3. Step 3: Cross multiply
    877.61x = 1,316.15 × 466.52
  4. Step 4: Simplify right side
    877.61x = 614,001.38
  5. Step 5: Solve for x
    x = 614,001.38/877.61
  6. Step 6: Final answer
    x = 699.63

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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.