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Finding the Fourth Proportional to 845.56, 1,166.70 and 491.52

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Solution

The fourth proportional to 845.56, 1,166.70 and 491.52 is: 678.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.56 : 1,166.70 = 491.52 : x
  2. Step 2: Convert to fraction form
    845.56/1,166.70 = 491.52/x
  3. Step 3: Cross multiply
    845.56x = 1,166.70 × 491.52
  4. Step 4: Simplify right side
    845.56x = 573,456.04
  5. Step 5: Solve for x
    x = 573,456.04/845.56
  6. Step 6: Final answer
    x = 678.20

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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.