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Finding the Fourth Proportional to 985.45, 1,359.80 and 565.82

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Solution

The fourth proportional to 985.45, 1,359.80 and 565.82 is: 780.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.45 : 1,359.80 = 565.82 : x
  2. Step 2: Convert to fraction form
    985.45/1,359.80 = 565.82/x
  3. Step 3: Cross multiply
    985.45x = 1,359.80 × 565.82
  4. Step 4: Simplify right side
    985.45x = 769,402.04
  5. Step 5: Solve for x
    x = 769,402.04/985.45
  6. Step 6: Final answer
    x = 780.76

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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.