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Finding the Fourth Proportional to 822.16, 1,230.14 and 591.58

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Solution

The fourth proportional to 822.16, 1,230.14 and 591.58 is: 885.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.16 : 1,230.14 = 591.58 : x
  2. Step 2: Convert to fraction form
    822.16/1,230.14 = 591.58/x
  3. Step 3: Cross multiply
    822.16x = 1,230.14 × 591.58
  4. Step 4: Simplify right side
    822.16x = 727,726.22
  5. Step 5: Solve for x
    x = 727,726.22/822.16
  6. Step 6: Final answer
    x = 885.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.