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Finding the Fourth Proportional to 750.86, 1,036.19 and 419.23

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Solution

The fourth proportional to 750.86, 1,036.19 and 419.23 is: 578.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.86 : 1,036.19 = 419.23 : x
  2. Step 2: Convert to fraction form
    750.86/1,036.19 = 419.23/x
  3. Step 3: Cross multiply
    750.86x = 1,036.19 × 419.23
  4. Step 4: Simplify right side
    750.86x = 434,401.93
  5. Step 5: Solve for x
    x = 434,401.93/750.86
  6. Step 6: Final answer
    x = 578.54

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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.