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Finding the Fourth Proportional to 750.79, 1,036.11 and 564.49

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Solution

The fourth proportional to 750.79, 1,036.11 and 564.49 is: 779.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.79 : 1,036.11 = 564.49 : x
  2. Step 2: Convert to fraction form
    750.79/1,036.11 = 564.49/x
  3. Step 3: Cross multiply
    750.79x = 1,036.11 × 564.49
  4. Step 4: Simplify right side
    750.79x = 584,873.73
  5. Step 5: Solve for x
    x = 584,873.73/750.79
  6. Step 6: Final answer
    x = 779.01

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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.