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Finding the Fourth Proportional to 1,077.41, 1,624.76 and 1,062.83

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Solution

The fourth proportional to 1,077.41, 1,624.76 and 1,062.83 is: 1,602.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.41 : 1,624.76 = 1,062.83 : x
  2. Step 2: Convert to fraction form
    1,077.41/1,624.76 = 1,062.83/x
  3. Step 3: Cross multiply
    1,077.41x = 1,624.76 × 1,062.83
  4. Step 4: Simplify right side
    1,077.41x = 1,726,843.67
  5. Step 5: Solve for x
    x = 1,726,843.67/1,077.41
  6. Step 6: Final answer
    x = 1,602.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.