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Finding the Fourth Proportional to 750.83, 1,036.07 and 419.23

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Solution

The fourth proportional to 750.83, 1,036.07 and 419.23 is: 578.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.83 : 1,036.07 = 419.23 : x
  2. Step 2: Convert to fraction form
    750.83/1,036.07 = 419.23/x
  3. Step 3: Cross multiply
    750.83x = 1,036.07 × 419.23
  4. Step 4: Simplify right side
    750.83x = 434,344.35
  5. Step 5: Solve for x
    x = 434,344.35/750.83
  6. Step 6: Final answer
    x = 578.49

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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.