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Finding the Fourth Proportional to 877.91, 1,317.25 and 416.02

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Solution

The fourth proportional to 877.91, 1,317.25 and 416.02 is: 624.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.91 : 1,317.25 = 416.02 : x
  2. Step 2: Convert to fraction form
    877.91/1,317.25 = 416.02/x
  3. Step 3: Cross multiply
    877.91x = 1,317.25 × 416.02
  4. Step 4: Simplify right side
    877.91x = 547,995.76
  5. Step 5: Solve for x
    x = 547,995.76/877.91
  6. Step 6: Final answer
    x = 624.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.