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Finding the Fourth Proportional to 772.15, 1,065.76 and 477.25

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Solution

The fourth proportional to 772.15, 1,065.76 and 477.25 is: 658.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.15 : 1,065.76 = 477.25 : x
  2. Step 2: Convert to fraction form
    772.15/1,065.76 = 477.25/x
  3. Step 3: Cross multiply
    772.15x = 1,065.76 × 477.25
  4. Step 4: Simplify right side
    772.15x = 508,633.96
  5. Step 5: Solve for x
    x = 508,633.96/772.15
  6. Step 6: Final answer
    x = 658.72

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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.