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Finding the Fourth Proportional to 1,039.02, 1,557 and 709.56

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Solution

The fourth proportional to 1,039.02, 1,557 and 709.56 is: 1,063.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.02 : 1,557 = 709.56 : x
  2. Step 2: Convert to fraction form
    1,039.02/1,557 = 709.56/x
  3. Step 3: Cross multiply
    1,039.02x = 1,557 × 709.56
  4. Step 4: Simplify right side
    1,039.02x = 1,104,784.92
  5. Step 5: Solve for x
    x = 1,104,784.92/1,039.02
  6. Step 6: Final answer
    x = 1,063.30

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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.