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Finding the Fourth Proportional to 1,202.05, 1,658.33 and 869.74

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Solution

The fourth proportional to 1,202.05, 1,658.33 and 869.74 is: 1,199.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.05 : 1,658.33 = 869.74 : x
  2. Step 2: Convert to fraction form
    1,202.05/1,658.33 = 869.74/x
  3. Step 3: Cross multiply
    1,202.05x = 1,658.33 × 869.74
  4. Step 4: Simplify right side
    1,202.05x = 1,442,315.93
  5. Step 5: Solve for x
    x = 1,442,315.93/1,202.05
  6. Step 6: Final answer
    x = 1,199.89

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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.