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Finding the Fourth Proportional to 1,273.34, 1,756.22 and 853.55

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Solution

The fourth proportional to 1,273.34, 1,756.22 and 853.55 is: 1,177.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.34 : 1,756.22 = 853.55 : x
  2. Step 2: Convert to fraction form
    1,273.34/1,756.22 = 853.55/x
  3. Step 3: Cross multiply
    1,273.34x = 1,756.22 × 853.55
  4. Step 4: Simplify right side
    1,273.34x = 1,499,021.70
  5. Step 5: Solve for x
    x = 1,499,021.70/1,273.34
  6. Step 6: Final answer
    x = 1,177.24

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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.