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Finding the Fourth Proportional to 864.59, 1,193.66 and 584.87

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Solution

The fourth proportional to 864.59, 1,193.66 and 584.87 is: 807.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.59 : 1,193.66 = 584.87 : x
  2. Step 2: Convert to fraction form
    864.59/1,193.66 = 584.87/x
  3. Step 3: Cross multiply
    864.59x = 1,193.66 × 584.87
  4. Step 4: Simplify right side
    864.59x = 698,133.70
  5. Step 5: Solve for x
    x = 698,133.70/864.59
  6. Step 6: Final answer
    x = 807.47

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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.