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Finding the Fourth Proportional to 1,049.71, 1,448.53 and 601.63

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Solution

The fourth proportional to 1,049.71, 1,448.53 and 601.63 is: 830.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.71 : 1,448.53 = 601.63 : x
  2. Step 2: Convert to fraction form
    1,049.71/1,448.53 = 601.63/x
  3. Step 3: Cross multiply
    1,049.71x = 1,448.53 × 601.63
  4. Step 4: Simplify right side
    1,049.71x = 871,479.10
  5. Step 5: Solve for x
    x = 871,479.10/1,049.71
  6. Step 6: Final answer
    x = 830.21

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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.