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Finding the Fourth Proportional to 858.92, 1,185.98 and 527.49

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Solution

The fourth proportional to 858.92, 1,185.98 and 527.49 is: 728.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.92 : 1,185.98 = 527.49 : x
  2. Step 2: Convert to fraction form
    858.92/1,185.98 = 527.49/x
  3. Step 3: Cross multiply
    858.92x = 1,185.98 × 527.49
  4. Step 4: Simplify right side
    858.92x = 625,589.95
  5. Step 5: Solve for x
    x = 625,589.95/858.92
  6. Step 6: Final answer
    x = 728.35

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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.