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Finding the Fourth Proportional to 1,590.27, 2,383.25 and 722.55

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Solution

The fourth proportional to 1,590.27, 2,383.25 and 722.55 is: 1,082.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.27 : 2,383.25 = 722.55 : x
  2. Step 2: Convert to fraction form
    1,590.27/2,383.25 = 722.55/x
  3. Step 3: Cross multiply
    1,590.27x = 2,383.25 × 722.55
  4. Step 4: Simplify right side
    1,590.27x = 1,722,013.67
  5. Step 5: Solve for x
    x = 1,722,013.67/1,590.27
  6. Step 6: Final answer
    x = 1,082.84

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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.