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Finding the Fourth Proportional to 690.17, 952.02 and 503.43

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Solution

The fourth proportional to 690.17, 952.02 and 503.43 is: 694.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.17 : 952.02 = 503.43 : x
  2. Step 2: Convert to fraction form
    690.17/952.02 = 503.43/x
  3. Step 3: Cross multiply
    690.17x = 952.02 × 503.43
  4. Step 4: Simplify right side
    690.17x = 479,277.21
  5. Step 5: Solve for x
    x = 479,277.21/690.17
  6. Step 6: Final answer
    x = 694.43

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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.