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Finding the Fourth Proportional to 750.67, 1,035.87 and 419.12

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Solution

The fourth proportional to 750.67, 1,035.87 and 419.12 is: 578.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.67 : 1,035.87 = 419.12 : x
  2. Step 2: Convert to fraction form
    750.67/1,035.87 = 419.12/x
  3. Step 3: Cross multiply
    750.67x = 1,035.87 × 419.12
  4. Step 4: Simplify right side
    750.67x = 434,159.15
  5. Step 5: Solve for x
    x = 434,159.15/750.67
  6. Step 6: Final answer
    x = 578.36

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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.