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Finding the Fourth Proportional to 1,315.19, 1,972.98 and 482.30

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Solution

The fourth proportional to 1,315.19, 1,972.98 and 482.30 is: 723.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.19 : 1,972.98 = 482.30 : x
  2. Step 2: Convert to fraction form
    1,315.19/1,972.98 = 482.30/x
  3. Step 3: Cross multiply
    1,315.19x = 1,972.98 × 482.30
  4. Step 4: Simplify right side
    1,315.19x = 951,568.25
  5. Step 5: Solve for x
    x = 951,568.25/1,315.19
  6. Step 6: Final answer
    x = 723.52

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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.