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Finding the Fourth Proportional to 1,140.06, 1,706.42 and 810.78

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Solution

The fourth proportional to 1,140.06, 1,706.42 and 810.78 is: 1,213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.06 : 1,706.42 = 810.78 : x
  2. Step 2: Convert to fraction form
    1,140.06/1,706.42 = 810.78/x
  3. Step 3: Cross multiply
    1,140.06x = 1,706.42 × 810.78
  4. Step 4: Simplify right side
    1,140.06x = 1,383,531.21
  5. Step 5: Solve for x
    x = 1,383,531.21/1,140.06
  6. Step 6: Final answer
    x = 1,213.56

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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.