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Finding the Fourth Proportional to 1,444.68, 2,165.76 and 713.52

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Solution

The fourth proportional to 1,444.68, 2,165.76 and 713.52 is: 1,069.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.68 : 2,165.76 = 713.52 : x
  2. Step 2: Convert to fraction form
    1,444.68/2,165.76 = 713.52/x
  3. Step 3: Cross multiply
    1,444.68x = 2,165.76 × 713.52
  4. Step 4: Simplify right side
    1,444.68x = 1,545,313.08
  5. Step 5: Solve for x
    x = 1,545,313.08/1,444.68
  6. Step 6: Final answer
    x = 1,069.66

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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.