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Finding the Fourth Proportional to 1,049.85, 1,574.78 and 590.56

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Solution

The fourth proportional to 1,049.85, 1,574.78 and 590.56 is: 885.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.85 : 1,574.78 = 590.56 : x
  2. Step 2: Convert to fraction form
    1,049.85/1,574.78 = 590.56/x
  3. Step 3: Cross multiply
    1,049.85x = 1,574.78 × 590.56
  4. Step 4: Simplify right side
    1,049.85x = 929,995.19
  5. Step 5: Solve for x
    x = 929,995.19/1,049.85
  6. Step 6: Final answer
    x = 885.84

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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.