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Finding the Fourth Proportional to 830.57, 1,146.02 and 565.20

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Solution

The fourth proportional to 830.57, 1,146.02 and 565.20 is: 779.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.57 : 1,146.02 = 565.20 : x
  2. Step 2: Convert to fraction form
    830.57/1,146.02 = 565.20/x
  3. Step 3: Cross multiply
    830.57x = 1,146.02 × 565.20
  4. Step 4: Simplify right side
    830.57x = 647,727.68
  5. Step 5: Solve for x
    x = 647,727.68/830.57
  6. Step 6: Final answer
    x = 779.86

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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.