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Finding the Fourth Proportional to 1,288.92, 1,933.58 and 508.92

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Solution

The fourth proportional to 1,288.92, 1,933.58 and 508.92 is: 763.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.92 : 1,933.58 = 508.92 : x
  2. Step 2: Convert to fraction form
    1,288.92/1,933.58 = 508.92/x
  3. Step 3: Cross multiply
    1,288.92x = 1,933.58 × 508.92
  4. Step 4: Simplify right side
    1,288.92x = 984,036.90
  5. Step 5: Solve for x
    x = 984,036.90/1,288.92
  6. Step 6: Final answer
    x = 763.46

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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.