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Finding the Fourth Proportional to 821.65, 1,132.62 and 584.89

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Solution

The fourth proportional to 821.65, 1,132.62 and 584.89 is: 806.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.65 : 1,132.62 = 584.89 : x
  2. Step 2: Convert to fraction form
    821.65/1,132.62 = 584.89/x
  3. Step 3: Cross multiply
    821.65x = 1,132.62 × 584.89
  4. Step 4: Simplify right side
    821.65x = 662,458.11
  5. Step 5: Solve for x
    x = 662,458.11/821.65
  6. Step 6: Final answer
    x = 806.25

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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.