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Finding the Fourth Proportional to 1,343.70, 1,853.74 and 812.44

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Solution

The fourth proportional to 1,343.70, 1,853.74 and 812.44 is: 1,120.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.70 : 1,853.74 = 812.44 : x
  2. Step 2: Convert to fraction form
    1,343.70/1,853.74 = 812.44/x
  3. Step 3: Cross multiply
    1,343.70x = 1,853.74 × 812.44
  4. Step 4: Simplify right side
    1,343.70x = 1,506,052.53
  5. Step 5: Solve for x
    x = 1,506,052.53/1,343.70
  6. Step 6: Final answer
    x = 1,120.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.