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Finding the Fourth Proportional to 1,049.65, 1,448.66 and 601.70

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Solution

The fourth proportional to 1,049.65, 1,448.66 and 601.70 is: 830.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.65 : 1,448.66 = 601.70 : x
  2. Step 2: Convert to fraction form
    1,049.65/1,448.66 = 601.70/x
  3. Step 3: Cross multiply
    1,049.65x = 1,448.66 × 601.70
  4. Step 4: Simplify right side
    1,049.65x = 871,648.47
  5. Step 5: Solve for x
    x = 871,648.47/1,049.65
  6. Step 6: Final answer
    x = 830.42

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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.