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Finding the Fourth Proportional to 750.90, 1,036.26 and 419.38

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Solution

The fourth proportional to 750.90, 1,036.26 and 419.38 is: 578.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.90 : 1,036.26 = 419.38 : x
  2. Step 2: Convert to fraction form
    750.90/1,036.26 = 419.38/x
  3. Step 3: Cross multiply
    750.90x = 1,036.26 × 419.38
  4. Step 4: Simplify right side
    750.90x = 434,586.72
  5. Step 5: Solve for x
    x = 434,586.72/750.90
  6. Step 6: Final answer
    x = 578.75

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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.