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Finding the Fourth Proportional to 1,317.15, 1,976.09 and 740.43

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Solution

The fourth proportional to 1,317.15, 1,976.09 and 740.43 is: 1,110.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.15 : 1,976.09 = 740.43 : x
  2. Step 2: Convert to fraction form
    1,317.15/1,976.09 = 740.43/x
  3. Step 3: Cross multiply
    1,317.15x = 1,976.09 × 740.43
  4. Step 4: Simplify right side
    1,317.15x = 1,463,152.62
  5. Step 5: Solve for x
    x = 1,463,152.62/1,317.15
  6. Step 6: Final answer
    x = 1,110.85

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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.