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Finding the Fourth Proportional to 1,505.62, 2,077.72 and 842.48

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Solution

The fourth proportional to 1,505.62, 2,077.72 and 842.48 is: 1,162.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.62 : 2,077.72 = 842.48 : x
  2. Step 2: Convert to fraction form
    1,505.62/2,077.72 = 842.48/x
  3. Step 3: Cross multiply
    1,505.62x = 2,077.72 × 842.48
  4. Step 4: Simplify right side
    1,505.62x = 1,750,437.55
  5. Step 5: Solve for x
    x = 1,750,437.55/1,505.62
  6. Step 6: Final answer
    x = 1,162.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.