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Finding the Fourth Proportional to 709.86, 1,065.36 and 490.35

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Solution

The fourth proportional to 709.86, 1,065.36 and 490.35 is: 735.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.86 : 1,065.36 = 490.35 : x
  2. Step 2: Convert to fraction form
    709.86/1,065.36 = 490.35/x
  3. Step 3: Cross multiply
    709.86x = 1,065.36 × 490.35
  4. Step 4: Simplify right side
    709.86x = 522,399.28
  5. Step 5: Solve for x
    x = 522,399.28/709.86
  6. Step 6: Final answer
    x = 735.92

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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.