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Finding the Fourth Proportional to 690.62, 952.90 and 504.21

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Solution

The fourth proportional to 690.62, 952.90 and 504.21 is: 695.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.62 : 952.90 = 504.21 : x
  2. Step 2: Convert to fraction form
    690.62/952.90 = 504.21/x
  3. Step 3: Cross multiply
    690.62x = 952.90 × 504.21
  4. Step 4: Simplify right side
    690.62x = 480,459.82
  5. Step 5: Solve for x
    x = 480,459.82/690.62
  6. Step 6: Final answer
    x = 695.69

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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.