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Finding the Fourth Proportional to 1,049.11, 1,572.63 and 464.25

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Solution

The fourth proportional to 1,049.11, 1,572.63 and 464.25 is: 695.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.11 : 1,572.63 = 464.25 : x
  2. Step 2: Convert to fraction form
    1,049.11/1,572.63 = 464.25/x
  3. Step 3: Cross multiply
    1,049.11x = 1,572.63 × 464.25
  4. Step 4: Simplify right side
    1,049.11x = 730,099.94
  5. Step 5: Solve for x
    x = 730,099.94/1,049.11
  6. Step 6: Final answer
    x = 695.93

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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.