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Finding the Fourth Proportional to 772.03, 1,065.62 and 477.55

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Solution

The fourth proportional to 772.03, 1,065.62 and 477.55 is: 659.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.03 : 1,065.62 = 477.55 : x
  2. Step 2: Convert to fraction form
    772.03/1,065.62 = 477.55/x
  3. Step 3: Cross multiply
    772.03x = 1,065.62 × 477.55
  4. Step 4: Simplify right side
    772.03x = 508,886.83
  5. Step 5: Solve for x
    x = 508,886.83/772.03
  6. Step 6: Final answer
    x = 659.15

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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.