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Finding the Fourth Proportional to 876.69, 1,315.26 and 260.40

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Solution

The fourth proportional to 876.69, 1,315.26 and 260.40 is: 390.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.69 : 1,315.26 = 260.40 : x
  2. Step 2: Convert to fraction form
    876.69/1,315.26 = 260.40/x
  3. Step 3: Cross multiply
    876.69x = 1,315.26 × 260.40
  4. Step 4: Simplify right side
    876.69x = 342,487.13
  5. Step 5: Solve for x
    x = 342,487.13/876.69
  6. Step 6: Final answer
    x = 390.66

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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.