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Finding the Fourth Proportional to 1,342.27, 1,852.42 and 752.84

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Solution

The fourth proportional to 1,342.27, 1,852.42 and 752.84 is: 1,038.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.27 : 1,852.42 = 752.84 : x
  2. Step 2: Convert to fraction form
    1,342.27/1,852.42 = 752.84/x
  3. Step 3: Cross multiply
    1,342.27x = 1,852.42 × 752.84
  4. Step 4: Simplify right side
    1,342.27x = 1,394,583.51
  5. Step 5: Solve for x
    x = 1,394,583.51/1,342.27
  6. Step 6: Final answer
    x = 1,038.97

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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.