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Finding the Fourth Proportional to 763.11, 1,054.08 and 605.91

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Solution

The fourth proportional to 763.11, 1,054.08 and 605.91 is: 836.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.11 : 1,054.08 = 605.91 : x
  2. Step 2: Convert to fraction form
    763.11/1,054.08 = 605.91/x
  3. Step 3: Cross multiply
    763.11x = 1,054.08 × 605.91
  4. Step 4: Simplify right side
    763.11x = 638,677.61
  5. Step 5: Solve for x
    x = 638,677.61/763.11
  6. Step 6: Final answer
    x = 836.94

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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.