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Finding the Fourth Proportional to 751.78, 1,036.29 and 737.20

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Solution

The fourth proportional to 751.78, 1,036.29 and 737.20 is: 1,016.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.78 : 1,036.29 = 737.20 : x
  2. Step 2: Convert to fraction form
    751.78/1,036.29 = 737.20/x
  3. Step 3: Cross multiply
    751.78x = 1,036.29 × 737.20
  4. Step 4: Simplify right side
    751.78x = 763,952.99
  5. Step 5: Solve for x
    x = 763,952.99/751.78
  6. Step 6: Final answer
    x = 1,016.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.