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Finding the Fourth Proportional to 916.80, 1,265.41 and 524.06

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Solution

The fourth proportional to 916.80, 1,265.41 and 524.06 is: 723.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.80 : 1,265.41 = 524.06 : x
  2. Step 2: Convert to fraction form
    916.80/1,265.41 = 524.06/x
  3. Step 3: Cross multiply
    916.80x = 1,265.41 × 524.06
  4. Step 4: Simplify right side
    916.80x = 663,143.13
  5. Step 5: Solve for x
    x = 663,143.13/916.80
  6. Step 6: Final answer
    x = 723.32

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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.