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Finding the Fourth Proportional to 1,098.12, 1,516.42 and 705.81

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Solution

The fourth proportional to 1,098.12, 1,516.42 and 705.81 is: 974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.12 : 1,516.42 = 705.81 : x
  2. Step 2: Convert to fraction form
    1,098.12/1,516.42 = 705.81/x
  3. Step 3: Cross multiply
    1,098.12x = 1,516.42 × 705.81
  4. Step 4: Simplify right side
    1,098.12x = 1,070,310.97
  5. Step 5: Solve for x
    x = 1,070,310.97/1,098.12
  6. Step 6: Final answer
    x = 974.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.