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Finding the Fourth Proportional to 916.80, 1,265.16 and 518.48

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Solution

The fourth proportional to 916.80, 1,265.16 and 518.48 is: 715.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.80 : 1,265.16 = 518.48 : x
  2. Step 2: Convert to fraction form
    916.80/1,265.16 = 518.48/x
  3. Step 3: Cross multiply
    916.80x = 1,265.16 × 518.48
  4. Step 4: Simplify right side
    916.80x = 655,951.24
  5. Step 5: Solve for x
    x = 655,951.24/916.80
  6. Step 6: Final answer
    x = 715.48

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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.