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Finding the Fourth Proportional to 1,342.70, 1,853.14 and 753.42

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Solution

The fourth proportional to 1,342.70, 1,853.14 and 753.42 is: 1,039.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.70 : 1,853.14 = 753.42 : x
  2. Step 2: Convert to fraction form
    1,342.70/1,853.14 = 753.42/x
  3. Step 3: Cross multiply
    1,342.70x = 1,853.14 × 753.42
  4. Step 4: Simplify right side
    1,342.70x = 1,396,192.74
  5. Step 5: Solve for x
    x = 1,396,192.74/1,342.70
  6. Step 6: Final answer
    x = 1,039.84

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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.