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Finding the Fourth Proportional to 1,128.92, 1,685.20 and 975.83

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Solution

The fourth proportional to 1,128.92, 1,685.20 and 975.83 is: 1,456.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.92 : 1,685.20 = 975.83 : x
  2. Step 2: Convert to fraction form
    1,128.92/1,685.20 = 975.83/x
  3. Step 3: Cross multiply
    1,128.92x = 1,685.20 × 975.83
  4. Step 4: Simplify right side
    1,128.92x = 1,644,468.72
  5. Step 5: Solve for x
    x = 1,644,468.72/1,128.92
  6. Step 6: Final answer
    x = 1,456.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.