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Finding the Fourth Proportional to 707.14, 1,061.10 and 490.30

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Solution

The fourth proportional to 707.14, 1,061.10 and 490.30 is: 735.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.14 : 1,061.10 = 490.30 : x
  2. Step 2: Convert to fraction form
    707.14/1,061.10 = 490.30/x
  3. Step 3: Cross multiply
    707.14x = 1,061.10 × 490.30
  4. Step 4: Simplify right side
    707.14x = 520,257.33
  5. Step 5: Solve for x
    x = 520,257.33/707.14
  6. Step 6: Final answer
    x = 735.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.