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Finding the Fourth Proportional to 876.45, 1,314.72 and 260.13

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Solution

The fourth proportional to 876.45, 1,314.72 and 260.13 is: 390.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.45 : 1,314.72 = 260.13 : x
  2. Step 2: Convert to fraction form
    876.45/1,314.72 = 260.13/x
  3. Step 3: Cross multiply
    876.45x = 1,314.72 × 260.13
  4. Step 4: Simplify right side
    876.45x = 341,998.11
  5. Step 5: Solve for x
    x = 341,998.11/876.45
  6. Step 6: Final answer
    x = 390.21

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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.