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Finding the Fourth Proportional to 772.52, 1,065.64 and 477.28

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Solution

The fourth proportional to 772.52, 1,065.64 and 477.28 is: 658.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.52 : 1,065.64 = 477.28 : x
  2. Step 2: Convert to fraction form
    772.52/1,065.64 = 477.28/x
  3. Step 3: Cross multiply
    772.52x = 1,065.64 × 477.28
  4. Step 4: Simplify right side
    772.52x = 508,608.66
  5. Step 5: Solve for x
    x = 508,608.66/772.52
  6. Step 6: Final answer
    x = 658.38

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1.5x scale

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.