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Finding the Fourth Proportional to 750.72, 1,035.95 and 419.13

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Solution

The fourth proportional to 750.72, 1,035.95 and 419.13 is: 578.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.72 : 1,035.95 = 419.13 : x
  2. Step 2: Convert to fraction form
    750.72/1,035.95 = 419.13/x
  3. Step 3: Cross multiply
    750.72x = 1,035.95 × 419.13
  4. Step 4: Simplify right side
    750.72x = 434,197.72
  5. Step 5: Solve for x
    x = 434,197.72/750.72
  6. Step 6: Final answer
    x = 578.38

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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.