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Finding the Fourth Proportional to 690.09, 952.02 and 543.17

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Solution

The fourth proportional to 690.09, 952.02 and 543.17 is: 749.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.09 : 952.02 = 543.17 : x
  2. Step 2: Convert to fraction form
    690.09/952.02 = 543.17/x
  3. Step 3: Cross multiply
    690.09x = 952.02 × 543.17
  4. Step 4: Simplify right side
    690.09x = 517,103.94
  5. Step 5: Solve for x
    x = 517,103.94/690.09
  6. Step 6: Final answer
    x = 749.33

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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.