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Finding the Fourth Proportional to 1,117.62, 1,680.30 and 902.70

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Solution

The fourth proportional to 1,117.62, 1,680.30 and 902.70 is: 1,357.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.62 : 1,680.30 = 902.70 : x
  2. Step 2: Convert to fraction form
    1,117.62/1,680.30 = 902.70/x
  3. Step 3: Cross multiply
    1,117.62x = 1,680.30 × 902.70
  4. Step 4: Simplify right side
    1,117.62x = 1,516,806.81
  5. Step 5: Solve for x
    x = 1,516,806.81/1,117.62
  6. Step 6: Final answer
    x = 1,357.18

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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.