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Finding the Fourth Proportional to 1,359.19, 2,038.79 and 709.57

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Solution

The fourth proportional to 1,359.19, 2,038.79 and 709.57 is: 1,064.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.19 : 2,038.79 = 709.57 : x
  2. Step 2: Convert to fraction form
    1,359.19/2,038.79 = 709.57/x
  3. Step 3: Cross multiply
    1,359.19x = 2,038.79 × 709.57
  4. Step 4: Simplify right side
    1,359.19x = 1,446,660.67
  5. Step 5: Solve for x
    x = 1,446,660.67/1,359.19
  6. Step 6: Final answer
    x = 1,064.36

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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.