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Finding the Fourth Proportional to 1,496.23, 2,064.77 and 906.75

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Solution

The fourth proportional to 1,496.23, 2,064.77 and 906.75 is: 1,251.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.23 : 2,064.77 = 906.75 : x
  2. Step 2: Convert to fraction form
    1,496.23/2,064.77 = 906.75/x
  3. Step 3: Cross multiply
    1,496.23x = 2,064.77 × 906.75
  4. Step 4: Simplify right side
    1,496.23x = 1,872,230.20
  5. Step 5: Solve for x
    x = 1,872,230.20/1,496.23
  6. Step 6: Final answer
    x = 1,251.30

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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.