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Finding the Fourth Proportional to 1,049.61, 1,573.39 and 391.01

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Solution

The fourth proportional to 1,049.61, 1,573.39 and 391.01 is: 586.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.61 : 1,573.39 = 391.01 : x
  2. Step 2: Convert to fraction form
    1,049.61/1,573.39 = 391.01/x
  3. Step 3: Cross multiply
    1,049.61x = 1,573.39 × 391.01
  4. Step 4: Simplify right side
    1,049.61x = 615,205.69
  5. Step 5: Solve for x
    x = 615,205.69/1,049.61
  6. Step 6: Final answer
    x = 586.13

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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.