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Finding the Fourth Proportional to 1,032.75, 1,421.01 and 996.84

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Solution

The fourth proportional to 1,032.75, 1,421.01 and 996.84 is: 1,371.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.75 : 1,421.01 = 996.84 : x
  2. Step 2: Convert to fraction form
    1,032.75/1,421.01 = 996.84/x
  3. Step 3: Cross multiply
    1,032.75x = 1,421.01 × 996.84
  4. Step 4: Simplify right side
    1,032.75x = 1,416,519.61
  5. Step 5: Solve for x
    x = 1,416,519.61/1,032.75
  6. Step 6: Final answer
    x = 1,371.60

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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.