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Finding the Fourth Proportional to 1,062.96, 1,467.76 and 1,008.60

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Solution

The fourth proportional to 1,062.96, 1,467.76 and 1,008.60 is: 1,392.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.96 : 1,467.76 = 1,008.60 : x
  2. Step 2: Convert to fraction form
    1,062.96/1,467.76 = 1,008.60/x
  3. Step 3: Cross multiply
    1,062.96x = 1,467.76 × 1,008.60
  4. Step 4: Simplify right side
    1,062.96x = 1,480,382.74
  5. Step 5: Solve for x
    x = 1,480,382.74/1,062.96
  6. Step 6: Final answer
    x = 1,392.70

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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.