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Finding the Fourth Proportional to 1,510.68, 2,267.25 and 780.48

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Solution

The fourth proportional to 1,510.68, 2,267.25 and 780.48 is: 1,171.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.68 : 2,267.25 = 780.48 : x
  2. Step 2: Convert to fraction form
    1,510.68/2,267.25 = 780.48/x
  3. Step 3: Cross multiply
    1,510.68x = 2,267.25 × 780.48
  4. Step 4: Simplify right side
    1,510.68x = 1,769,543.28
  5. Step 5: Solve for x
    x = 1,769,543.28/1,510.68
  6. Step 6: Final answer
    x = 1,171.36

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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.