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Finding the Fourth Proportional to 1,288.87, 1,931.99 and 508.56

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Solution

The fourth proportional to 1,288.87, 1,931.99 and 508.56 is: 762.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.87 : 1,931.99 = 508.56 : x
  2. Step 2: Convert to fraction form
    1,288.87/1,931.99 = 508.56/x
  3. Step 3: Cross multiply
    1,288.87x = 1,931.99 × 508.56
  4. Step 4: Simplify right side
    1,288.87x = 982,532.83
  5. Step 5: Solve for x
    x = 982,532.83/1,288.87
  6. Step 6: Final answer
    x = 762.32

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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.