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Finding the Fourth Proportional to 928.77, 1,281.68 and 524.96

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Solution

The fourth proportional to 928.77, 1,281.68 and 524.96 is: 724.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.77 : 1,281.68 = 524.96 : x
  2. Step 2: Convert to fraction form
    928.77/1,281.68 = 524.96/x
  3. Step 3: Cross multiply
    928.77x = 1,281.68 × 524.96
  4. Step 4: Simplify right side
    928.77x = 672,826.51
  5. Step 5: Solve for x
    x = 672,826.51/928.77
  6. Step 6: Final answer
    x = 724.43

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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.