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Finding the Fourth Proportional to 916.86, 1,265.16 and 523.77

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Solution

The fourth proportional to 916.86, 1,265.16 and 523.77 is: 722.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.86 : 1,265.16 = 523.77 : x
  2. Step 2: Convert to fraction form
    916.86/1,265.16 = 523.77/x
  3. Step 3: Cross multiply
    916.86x = 1,265.16 × 523.77
  4. Step 4: Simplify right side
    916.86x = 662,652.85
  5. Step 5: Solve for x
    x = 662,652.85/916.86
  6. Step 6: Final answer
    x = 722.74

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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.