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Finding the Fourth Proportional to 1,062.94, 1,467 and 597.19

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Solution

The fourth proportional to 1,062.94, 1,467 and 597.19 is: 824.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.94 : 1,467 = 597.19 : x
  2. Step 2: Convert to fraction form
    1,062.94/1,467 = 597.19/x
  3. Step 3: Cross multiply
    1,062.94x = 1,467 × 597.19
  4. Step 4: Simplify right side
    1,062.94x = 876,077.73
  5. Step 5: Solve for x
    x = 876,077.73/1,062.94
  6. Step 6: Final answer
    x = 824.20

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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.