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Finding the Fourth Proportional to 876.92, 1,315.51 and 260.54

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Solution

The fourth proportional to 876.92, 1,315.51 and 260.54 is: 390.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.92 : 1,315.51 = 260.54 : x
  2. Step 2: Convert to fraction form
    876.92/1,315.51 = 260.54/x
  3. Step 3: Cross multiply
    876.92x = 1,315.51 × 260.54
  4. Step 4: Simplify right side
    876.92x = 342,740.68
  5. Step 5: Solve for x
    x = 342,740.68/876.92
  6. Step 6: Final answer
    x = 390.85

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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.