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Finding the Fourth Proportional to 877.81, 1,316.32 and 261.31

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Solution

The fourth proportional to 877.81, 1,316.32 and 261.31 is: 391.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.81 : 1,316.32 = 261.31 : x
  2. Step 2: Convert to fraction form
    877.81/1,316.32 = 261.31/x
  3. Step 3: Cross multiply
    877.81x = 1,316.32 × 261.31
  4. Step 4: Simplify right side
    877.81x = 343,967.58
  5. Step 5: Solve for x
    x = 343,967.58/877.81
  6. Step 6: Final answer
    x = 391.85

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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.