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Finding the Fourth Proportional to 1,315.59, 1,972.81 and 699.17

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Solution

The fourth proportional to 1,315.59, 1,972.81 and 699.17 is: 1,048.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.59 : 1,972.81 = 699.17 : x
  2. Step 2: Convert to fraction form
    1,315.59/1,972.81 = 699.17/x
  3. Step 3: Cross multiply
    1,315.59x = 1,972.81 × 699.17
  4. Step 4: Simplify right side
    1,315.59x = 1,379,316.64
  5. Step 5: Solve for x
    x = 1,379,316.64/1,315.59
  6. Step 6: Final answer
    x = 1,048.44

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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.