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Finding the Fourth Proportional to 876.40, 1,314.89 and 260.13

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Solution

The fourth proportional to 876.40, 1,314.89 and 260.13 is: 390.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.40 : 1,314.89 = 260.13 : x
  2. Step 2: Convert to fraction form
    876.40/1,314.89 = 260.13/x
  3. Step 3: Cross multiply
    876.40x = 1,314.89 × 260.13
  4. Step 4: Simplify right side
    876.40x = 342,042.34
  5. Step 5: Solve for x
    x = 342,042.34/876.40
  6. Step 6: Final answer
    x = 390.28

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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.