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Finding the Fourth Proportional to 876.68, 1,315.24 and 260.38

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Solution

The fourth proportional to 876.68, 1,315.24 and 260.38 is: 390.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.68 : 1,315.24 = 260.38 : x
  2. Step 2: Convert to fraction form
    876.68/1,315.24 = 260.38/x
  3. Step 3: Cross multiply
    876.68x = 1,315.24 × 260.38
  4. Step 4: Simplify right side
    876.68x = 342,462.19
  5. Step 5: Solve for x
    x = 342,462.19/876.68
  6. Step 6: Final answer
    x = 390.64

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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.