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Finding the Fourth Proportional to 1,300.57, 1,950.56 and 375.92

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Solution

The fourth proportional to 1,300.57, 1,950.56 and 375.92 is: 563.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.57 : 1,950.56 = 375.92 : x
  2. Step 2: Convert to fraction form
    1,300.57/1,950.56 = 375.92/x
  3. Step 3: Cross multiply
    1,300.57x = 1,950.56 × 375.92
  4. Step 4: Simplify right side
    1,300.57x = 733,251.61
  5. Step 5: Solve for x
    x = 733,251.61/1,300.57
  6. Step 6: Final answer
    x = 563.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.