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Finding the Fourth Proportional to 1,049.13, 1,574.41 and 365.13

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Solution

The fourth proportional to 1,049.13, 1,574.41 and 365.13 is: 547.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.13 : 1,574.41 = 365.13 : x
  2. Step 2: Convert to fraction form
    1,049.13/1,574.41 = 365.13/x
  3. Step 3: Cross multiply
    1,049.13x = 1,574.41 × 365.13
  4. Step 4: Simplify right side
    1,049.13x = 574,864.32
  5. Step 5: Solve for x
    x = 574,864.32/1,049.13
  6. Step 6: Final answer
    x = 547.94

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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.