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Finding the Fourth Proportional to 772.32, 1,065.84 and 477.74

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Solution

The fourth proportional to 772.32, 1,065.84 and 477.74 is: 659.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.32 : 1,065.84 = 477.74 : x
  2. Step 2: Convert to fraction form
    772.32/1,065.84 = 477.74/x
  3. Step 3: Cross multiply
    772.32x = 1,065.84 × 477.74
  4. Step 4: Simplify right side
    772.32x = 509,194.40
  5. Step 5: Solve for x
    x = 509,194.40/772.32
  6. Step 6: Final answer
    x = 659.30

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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.