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Finding the Fourth Proportional to 1,358.62, 1,876.42 and 915.75

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Solution

The fourth proportional to 1,358.62, 1,876.42 and 915.75 is: 1,264.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.62 : 1,876.42 = 915.75 : x
  2. Step 2: Convert to fraction form
    1,358.62/1,876.42 = 915.75/x
  3. Step 3: Cross multiply
    1,358.62x = 1,876.42 × 915.75
  4. Step 4: Simplify right side
    1,358.62x = 1,718,332.76
  5. Step 5: Solve for x
    x = 1,718,332.76/1,358.62
  6. Step 6: Final answer
    x = 1,264.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.