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Finding the Fourth Proportional to 1,407.66, 2,112.42 and 758.84

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Solution

The fourth proportional to 1,407.66, 2,112.42 and 758.84 is: 1,138.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.66 : 2,112.42 = 758.84 : x
  2. Step 2: Convert to fraction form
    1,407.66/2,112.42 = 758.84/x
  3. Step 3: Cross multiply
    1,407.66x = 2,112.42 × 758.84
  4. Step 4: Simplify right side
    1,407.66x = 1,602,988.79
  5. Step 5: Solve for x
    x = 1,602,988.79/1,407.66
  6. Step 6: Final answer
    x = 1,138.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.