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Finding the Fourth Proportional to 1,452.30, 2,176.77 and 722.37

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Solution

The fourth proportional to 1,452.30, 2,176.77 and 722.37 is: 1,082.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.30 : 2,176.77 = 722.37 : x
  2. Step 2: Convert to fraction form
    1,452.30/2,176.77 = 722.37/x
  3. Step 3: Cross multiply
    1,452.30x = 2,176.77 × 722.37
  4. Step 4: Simplify right side
    1,452.30x = 1,572,433.34
  5. Step 5: Solve for x
    x = 1,572,433.34/1,452.30
  6. Step 6: Final answer
    x = 1,082.72

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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.