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Finding the Fourth Proportional to 750.07, 1,035.81 and 709.16

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Solution

The fourth proportional to 750.07, 1,035.81 and 709.16 is: 979.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.07 : 1,035.81 = 709.16 : x
  2. Step 2: Convert to fraction form
    750.07/1,035.81 = 709.16/x
  3. Step 3: Cross multiply
    750.07x = 1,035.81 × 709.16
  4. Step 4: Simplify right side
    750.07x = 734,551.47
  5. Step 5: Solve for x
    x = 734,551.47/750.07
  6. Step 6: Final answer
    x = 979.32

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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.