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Finding the Fourth Proportional to 877.61, 1,314.72 and 466.19

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Solution

The fourth proportional to 877.61, 1,314.72 and 466.19 is: 698.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.61 : 1,314.72 = 466.19 : x
  2. Step 2: Convert to fraction form
    877.61/1,314.72 = 466.19/x
  3. Step 3: Cross multiply
    877.61x = 1,314.72 × 466.19
  4. Step 4: Simplify right side
    877.61x = 612,909.32
  5. Step 5: Solve for x
    x = 612,909.32/877.61
  6. Step 6: Final answer
    x = 698.38

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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.