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Finding the Fourth Proportional to 1,079.30, 1,487.69 and 937.14

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Solution

The fourth proportional to 1,079.30, 1,487.69 and 937.14 is: 1,291.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.30 : 1,487.69 = 937.14 : x
  2. Step 2: Convert to fraction form
    1,079.30/1,487.69 = 937.14/x
  3. Step 3: Cross multiply
    1,079.30x = 1,487.69 × 937.14
  4. Step 4: Simplify right side
    1,079.30x = 1,394,182.24
  5. Step 5: Solve for x
    x = 1,394,182.24/1,079.30
  6. Step 6: Final answer
    x = 1,291.75

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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.