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Finding the Fourth Proportional to 876.46, 1,314.64 and 260.17

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Solution

The fourth proportional to 876.46, 1,314.64 and 260.17 is: 390.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.46 : 1,314.64 = 260.17 : x
  2. Step 2: Convert to fraction form
    876.46/1,314.64 = 260.17/x
  3. Step 3: Cross multiply
    876.46x = 1,314.64 × 260.17
  4. Step 4: Simplify right side
    876.46x = 342,026.93
  5. Step 5: Solve for x
    x = 342,026.93/876.46
  6. Step 6: Final answer
    x = 390.24

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Why These Related Problems?

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