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Finding the Fourth Proportional to 1,314.59, 1,972.56 and 852.24

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Solution

The fourth proportional to 1,314.59, 1,972.56 and 852.24 is: 1,278.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.59 : 1,972.56 = 852.24 : x
  2. Step 2: Convert to fraction form
    1,314.59/1,972.56 = 852.24/x
  3. Step 3: Cross multiply
    1,314.59x = 1,972.56 × 852.24
  4. Step 4: Simplify right side
    1,314.59x = 1,681,094.53
  5. Step 5: Solve for x
    x = 1,681,094.53/1,314.59
  6. Step 6: Final answer
    x = 1,278.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.