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Finding the Fourth Proportional to 877.52, 1,316.54 and 466.61

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Solution

The fourth proportional to 877.52, 1,316.54 and 466.61 is: 700.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.52 : 1,316.54 = 466.61 : x
  2. Step 2: Convert to fraction form
    877.52/1,316.54 = 466.61/x
  3. Step 3: Cross multiply
    877.52x = 1,316.54 × 466.61
  4. Step 4: Simplify right side
    877.52x = 614,305.31
  5. Step 5: Solve for x
    x = 614,305.31/877.52
  6. Step 6: Final answer
    x = 700.05

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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.