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Finding the Fourth Proportional to 1,037.14, 1,555.67 and 574.67

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Solution

The fourth proportional to 1,037.14, 1,555.67 and 574.67 is: 861.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.14 : 1,555.67 = 574.67 : x
  2. Step 2: Convert to fraction form
    1,037.14/1,555.67 = 574.67/x
  3. Step 3: Cross multiply
    1,037.14x = 1,555.67 × 574.67
  4. Step 4: Simplify right side
    1,037.14x = 894,002.20
  5. Step 5: Solve for x
    x = 894,002.20/1,037.14
  6. Step 6: Final answer
    x = 861.99

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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.