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Finding the Fourth Proportional to 877.76, 1,316.01 and 415.28

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Solution

The fourth proportional to 877.76, 1,316.01 and 415.28 is: 622.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.76 : 1,316.01 = 415.28 : x
  2. Step 2: Convert to fraction form
    877.76/1,316.01 = 415.28/x
  3. Step 3: Cross multiply
    877.76x = 1,316.01 × 415.28
  4. Step 4: Simplify right side
    877.76x = 546,515.92
  5. Step 5: Solve for x
    x = 546,515.92/877.76
  6. Step 6: Final answer
    x = 622.62

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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.