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Finding the Fourth Proportional to 877.32, 1,316.10 and 260.94

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Solution

The fourth proportional to 877.32, 1,316.10 and 260.94 is: 391.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.32 : 1,316.10 = 260.94 : x
  2. Step 2: Convert to fraction form
    877.32/1,316.10 = 260.94/x
  3. Step 3: Cross multiply
    877.32x = 1,316.10 × 260.94
  4. Step 4: Simplify right side
    877.32x = 343,423.13
  5. Step 5: Solve for x
    x = 343,423.13/877.32
  6. Step 6: Final answer
    x = 391.45

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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.