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Finding the Fourth Proportional to 1,098.70, 1,650.64 and 709.44

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Solution

The fourth proportional to 1,098.70, 1,650.64 and 709.44 is: 1,065.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.70 : 1,650.64 = 709.44 : x
  2. Step 2: Convert to fraction form
    1,098.70/1,650.64 = 709.44/x
  3. Step 3: Cross multiply
    1,098.70x = 1,650.64 × 709.44
  4. Step 4: Simplify right side
    1,098.70x = 1,171,030.04
  5. Step 5: Solve for x
    x = 1,171,030.04/1,098.70
  6. Step 6: Final answer
    x = 1,065.83

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Why These Related Problems?

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