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Finding the Fourth Proportional to 741.46, 1,009.50 and 739.15

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Solution

The fourth proportional to 741.46, 1,009.50 and 739.15 is: 1,006.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.46 : 1,009.50 = 739.15 : x
  2. Step 2: Convert to fraction form
    741.46/1,009.50 = 739.15/x
  3. Step 3: Cross multiply
    741.46x = 1,009.50 × 739.15
  4. Step 4: Simplify right side
    741.46x = 746,175.71
  5. Step 5: Solve for x
    x = 746,175.71/741.46
  6. Step 6: Final answer
    x = 1,006.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.