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Finding the Fourth Proportional to 1,270.16, 1,902.82 and 722.72

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Solution

The fourth proportional to 1,270.16, 1,902.82 and 722.72 is: 1,082.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.16 : 1,902.82 = 722.72 : x
  2. Step 2: Convert to fraction form
    1,270.16/1,902.82 = 722.72/x
  3. Step 3: Cross multiply
    1,270.16x = 1,902.82 × 722.72
  4. Step 4: Simplify right side
    1,270.16x = 1,375,206.07
  5. Step 5: Solve for x
    x = 1,375,206.07/1,270.16
  6. Step 6: Final answer
    x = 1,082.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.