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Finding the Fourth Proportional to 750.97, 1,036.34 and 436.42

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Solution

The fourth proportional to 750.97, 1,036.34 and 436.42 is: 602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.97 : 1,036.34 = 436.42 : x
  2. Step 2: Convert to fraction form
    750.97/1,036.34 = 436.42/x
  3. Step 3: Cross multiply
    750.97x = 1,036.34 × 436.42
  4. Step 4: Simplify right side
    750.97x = 452,277.34
  5. Step 5: Solve for x
    x = 452,277.34/750.97
  6. Step 6: Final answer
    x = 602.25

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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.