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Finding the Fourth Proportional to 1,148.92, 1,718.12 and 856.63

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Solution

The fourth proportional to 1,148.92, 1,718.12 and 856.63 is: 1,281.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.92 : 1,718.12 = 856.63 : x
  2. Step 2: Convert to fraction form
    1,148.92/1,718.12 = 856.63/x
  3. Step 3: Cross multiply
    1,148.92x = 1,718.12 × 856.63
  4. Step 4: Simplify right side
    1,148.92x = 1,471,793.14
  5. Step 5: Solve for x
    x = 1,471,793.14/1,148.92
  6. Step 6: Final answer
    x = 1,281.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.