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Finding the Fourth Proportional to 1,238.02, 1,856.74 and 360.52

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Solution

The fourth proportional to 1,238.02, 1,856.74 and 360.52 is: 540.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.02 : 1,856.74 = 360.52 : x
  2. Step 2: Convert to fraction form
    1,238.02/1,856.74 = 360.52/x
  3. Step 3: Cross multiply
    1,238.02x = 1,856.74 × 360.52
  4. Step 4: Simplify right side
    1,238.02x = 669,391.90
  5. Step 5: Solve for x
    x = 669,391.90/1,238.02
  6. Step 6: Final answer
    x = 540.70

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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.