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Finding the Fourth Proportional to 985.46, 1,359.80 and 565.83

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Solution

The fourth proportional to 985.46, 1,359.80 and 565.83 is: 780.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.46 : 1,359.80 = 565.83 : x
  2. Step 2: Convert to fraction form
    985.46/1,359.80 = 565.83/x
  3. Step 3: Cross multiply
    985.46x = 1,359.80 × 565.83
  4. Step 4: Simplify right side
    985.46x = 769,408.84
  5. Step 5: Solve for x
    x = 769,408.84/985.46
  6. Step 6: Final answer
    x = 780.77

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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.