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Finding the Fourth Proportional to 1,288.00, 1,931.97 and 363.55

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Solution

The fourth proportional to 1,288.00, 1,931.97 and 363.55 is: 545.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.00 : 1,931.97 = 363.55 : x
  2. Step 2: Convert to fraction form
    1,288.00/1,931.97 = 363.55/x
  3. Step 3: Cross multiply
    1,288.00x = 1,931.97 × 363.55
  4. Step 4: Simplify right side
    1,288.00x = 702,360.41
  5. Step 5: Solve for x
    x = 702,360.41/1,288.00
  6. Step 6: Final answer
    x = 545.31

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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.