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Finding the Fourth Proportional to 750.24, 1,033.80 and 709.44

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Solution

The fourth proportional to 750.24, 1,033.80 and 709.44 is: 977.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.24 : 1,033.80 = 709.44 : x
  2. Step 2: Convert to fraction form
    750.24/1,033.80 = 709.44/x
  3. Step 3: Cross multiply
    750.24x = 1,033.80 × 709.44
  4. Step 4: Simplify right side
    750.24x = 733,419.07
  5. Step 5: Solve for x
    x = 733,419.07/750.24
  6. Step 6: Final answer
    x = 977.58

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