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Finding the Fourth Proportional to 916.77, 1,265.26 and 518.45

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Solution

The fourth proportional to 916.77, 1,265.26 and 518.45 is: 715.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.77 : 1,265.26 = 518.45 : x
  2. Step 2: Convert to fraction form
    916.77/1,265.26 = 518.45/x
  3. Step 3: Cross multiply
    916.77x = 1,265.26 × 518.45
  4. Step 4: Simplify right side
    916.77x = 655,974.05
  5. Step 5: Solve for x
    x = 655,974.05/916.77
  6. Step 6: Final answer
    x = 715.53

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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.