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Finding the Fourth Proportional to 750.57, 1,035.78 and 419.01

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Solution

The fourth proportional to 750.57, 1,035.78 and 419.01 is: 578.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.57 : 1,035.78 = 419.01 : x
  2. Step 2: Convert to fraction form
    750.57/1,035.78 = 419.01/x
  3. Step 3: Cross multiply
    750.57x = 1,035.78 × 419.01
  4. Step 4: Simplify right side
    750.57x = 434,002.18
  5. Step 5: Solve for x
    x = 434,002.18/750.57
  6. Step 6: Final answer
    x = 578.23

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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.