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Finding the Fourth Proportional to 1,292.28, 1,780.98 and 919.26

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Solution

The fourth proportional to 1,292.28, 1,780.98 and 919.26 is: 1,266.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.28 : 1,780.98 = 919.26 : x
  2. Step 2: Convert to fraction form
    1,292.28/1,780.98 = 919.26/x
  3. Step 3: Cross multiply
    1,292.28x = 1,780.98 × 919.26
  4. Step 4: Simplify right side
    1,292.28x = 1,637,183.67
  5. Step 5: Solve for x
    x = 1,637,183.67/1,292.28
  6. Step 6: Final answer
    x = 1,266.90

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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.