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Finding the Fourth Proportional to 1,576.26, 2,174.65 and 912.87

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Solution

The fourth proportional to 1,576.26, 2,174.65 and 912.87 is: 1,259.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.26 : 2,174.65 = 912.87 : x
  2. Step 2: Convert to fraction form
    1,576.26/2,174.65 = 912.87/x
  3. Step 3: Cross multiply
    1,576.26x = 2,174.65 × 912.87
  4. Step 4: Simplify right side
    1,576.26x = 1,985,170.46
  5. Step 5: Solve for x
    x = 1,985,170.46/1,576.26
  6. Step 6: Final answer
    x = 1,259.42

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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.