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Finding the Fourth Proportional to 750.86, 1,036.62 and 503

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Solution

The fourth proportional to 750.86, 1,036.62 and 503 is: 694.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.86 : 1,036.62 = 503 : x
  2. Step 2: Convert to fraction form
    750.86/1,036.62 = 503/x
  3. Step 3: Cross multiply
    750.86x = 1,036.62 × 503
  4. Step 4: Simplify right side
    750.86x = 521,419.86
  5. Step 5: Solve for x
    x = 521,419.86/750.86
  6. Step 6: Final answer
    x = 694.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.