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Finding the Fourth Proportional to 1,058.14, 1,573.70 and 1,037.38

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Solution

The fourth proportional to 1,058.14, 1,573.70 and 1,037.38 is: 1,542.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.14 : 1,573.70 = 1,037.38 : x
  2. Step 2: Convert to fraction form
    1,058.14/1,573.70 = 1,037.38/x
  3. Step 3: Cross multiply
    1,058.14x = 1,573.70 × 1,037.38
  4. Step 4: Simplify right side
    1,058.14x = 1,632,524.91
  5. Step 5: Solve for x
    x = 1,632,524.91/1,058.14
  6. Step 6: Final answer
    x = 1,542.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.