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Finding the Fourth Proportional to 1,288.84, 1,933.65 and 508.95

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Solution

The fourth proportional to 1,288.84, 1,933.65 and 508.95 is: 763.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.84 : 1,933.65 = 508.95 : x
  2. Step 2: Convert to fraction form
    1,288.84/1,933.65 = 508.95/x
  3. Step 3: Cross multiply
    1,288.84x = 1,933.65 × 508.95
  4. Step 4: Simplify right side
    1,288.84x = 984,131.17
  5. Step 5: Solve for x
    x = 984,131.17/1,288.84
  6. Step 6: Final answer
    x = 763.58

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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.