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Finding the Fourth Proportional to 1,098.45, 1,648.83 and 637.14

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Solution

The fourth proportional to 1,098.45, 1,648.83 and 637.14 is: 956.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.45 : 1,648.83 = 637.14 : x
  2. Step 2: Convert to fraction form
    1,098.45/1,648.83 = 637.14/x
  3. Step 3: Cross multiply
    1,098.45x = 1,648.83 × 637.14
  4. Step 4: Simplify right side
    1,098.45x = 1,050,535.55
  5. Step 5: Solve for x
    x = 1,050,535.55/1,098.45
  6. Step 6: Final answer
    x = 956.38

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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.