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Finding the Fourth Proportional to 1,749.31, 2,624.55 and 709.54

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Solution

The fourth proportional to 1,749.31, 2,624.55 and 709.54 is: 1,064.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.31 : 2,624.55 = 709.54 : x
  2. Step 2: Convert to fraction form
    1,749.31/2,624.55 = 709.54/x
  3. Step 3: Cross multiply
    1,749.31x = 2,624.55 × 709.54
  4. Step 4: Simplify right side
    1,749.31x = 1,862,223.21
  5. Step 5: Solve for x
    x = 1,862,223.21/1,749.31
  6. Step 6: Final answer
    x = 1,064.55

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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.