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Finding the Fourth Proportional to 845.76, 1,166.52 and 547.08

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Solution

The fourth proportional to 845.76, 1,166.52 and 547.08 is: 754.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.76 : 1,166.52 = 547.08 : x
  2. Step 2: Convert to fraction form
    845.76/1,166.52 = 547.08/x
  3. Step 3: Cross multiply
    845.76x = 1,166.52 × 547.08
  4. Step 4: Simplify right side
    845.76x = 638,179.76
  5. Step 5: Solve for x
    x = 638,179.76/845.76
  6. Step 6: Final answer
    x = 754.56

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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.