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Finding the Fourth Proportional to 690.60, 953.74 and 591.78

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Solution

The fourth proportional to 690.60, 953.74 and 591.78 is: 817.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.60 : 953.74 = 591.78 : x
  2. Step 2: Convert to fraction form
    690.60/953.74 = 591.78/x
  3. Step 3: Cross multiply
    690.60x = 953.74 × 591.78
  4. Step 4: Simplify right side
    690.60x = 564,401.30
  5. Step 5: Solve for x
    x = 564,401.30/690.60
  6. Step 6: Final answer
    x = 817.26

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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.