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Finding the Fourth Proportional to 1,314.42, 1,972.35 and 737.34

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Solution

The fourth proportional to 1,314.42, 1,972.35 and 737.34 is: 1,106.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.42 : 1,972.35 = 737.34 : x
  2. Step 2: Convert to fraction form
    1,314.42/1,972.35 = 737.34/x
  3. Step 3: Cross multiply
    1,314.42x = 1,972.35 × 737.34
  4. Step 4: Simplify right side
    1,314.42x = 1,454,292.55
  5. Step 5: Solve for x
    x = 1,454,292.55/1,314.42
  6. Step 6: Final answer
    x = 1,106.41

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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.