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Finding the Fourth Proportional to 862.61, 1,189.96 and 597.33

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Solution

The fourth proportional to 862.61, 1,189.96 and 597.33 is: 824.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.61 : 1,189.96 = 597.33 : x
  2. Step 2: Convert to fraction form
    862.61/1,189.96 = 597.33/x
  3. Step 3: Cross multiply
    862.61x = 1,189.96 × 597.33
  4. Step 4: Simplify right side
    862.61x = 710,797.31
  5. Step 5: Solve for x
    x = 710,797.31/862.61
  6. Step 6: Final answer
    x = 824.01

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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.