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Finding the Fourth Proportional to 1,432.30, 1,975.80 and 842.74

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Solution

The fourth proportional to 1,432.30, 1,975.80 and 842.74 is: 1,162.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.30 : 1,975.80 = 842.74 : x
  2. Step 2: Convert to fraction form
    1,432.30/1,975.80 = 842.74/x
  3. Step 3: Cross multiply
    1,432.30x = 1,975.80 × 842.74
  4. Step 4: Simplify right side
    1,432.30x = 1,665,085.69
  5. Step 5: Solve for x
    x = 1,665,085.69/1,432.30
  6. Step 6: Final answer
    x = 1,162.53

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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.