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Finding the Fourth Proportional to 842.06, 1,162.61 and 527.45

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Solution

The fourth proportional to 842.06, 1,162.61 and 527.45 is: 728.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.06 : 1,162.61 = 527.45 : x
  2. Step 2: Convert to fraction form
    842.06/1,162.61 = 527.45/x
  3. Step 3: Cross multiply
    842.06x = 1,162.61 × 527.45
  4. Step 4: Simplify right side
    842.06x = 613,216.53
  5. Step 5: Solve for x
    x = 613,216.53/842.06
  6. Step 6: Final answer
    x = 728.24

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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.