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Finding the Fourth Proportional to 1,049.14, 1,572.95 and 493.89

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Solution

The fourth proportional to 1,049.14, 1,572.95 and 493.89 is: 740.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.14 : 1,572.95 = 493.89 : x
  2. Step 2: Convert to fraction form
    1,049.14/1,572.95 = 493.89/x
  3. Step 3: Cross multiply
    1,049.14x = 1,572.95 × 493.89
  4. Step 4: Simplify right side
    1,049.14x = 776,856.41
  5. Step 5: Solve for x
    x = 776,856.41/1,049.14
  6. Step 6: Final answer
    x = 740.47

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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.