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Finding the Fourth Proportional to 1,059.02, 1,589.14 and 474.40

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Solution

The fourth proportional to 1,059.02, 1,589.14 and 474.40 is: 711.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.02 : 1,589.14 = 474.40 : x
  2. Step 2: Convert to fraction form
    1,059.02/1,589.14 = 474.40/x
  3. Step 3: Cross multiply
    1,059.02x = 1,589.14 × 474.40
  4. Step 4: Simplify right side
    1,059.02x = 753,888.02
  5. Step 5: Solve for x
    x = 753,888.02/1,059.02
  6. Step 6: Final answer
    x = 711.87

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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.