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Finding the Fourth Proportional to 1,098.30, 1,538.70 and 1,098.30

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Solution

The fourth proportional to 1,098.30, 1,538.70 and 1,098.30 is: 1,538.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.30 : 1,538.70 = 1,098.30 : x
  2. Step 2: Convert to fraction form
    1,098.30/1,538.70 = 1,098.30/x
  3. Step 3: Cross multiply
    1,098.30x = 1,538.70 × 1,098.30
  4. Step 4: Simplify right side
    1,098.30x = 1,689,954.21
  5. Step 5: Solve for x
    x = 1,689,954.21/1,098.30
  6. Step 6: Final answer
    x = 1,538.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.