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Finding the Fourth Proportional to 690.74, 952.85 and 454.44

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Solution

The fourth proportional to 690.74, 952.85 and 454.44 is: 626.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.74 : 952.85 = 454.44 : x
  2. Step 2: Convert to fraction form
    690.74/952.85 = 454.44/x
  3. Step 3: Cross multiply
    690.74x = 952.85 × 454.44
  4. Step 4: Simplify right side
    690.74x = 433,017.86
  5. Step 5: Solve for x
    x = 433,017.86/690.74
  6. Step 6: Final answer
    x = 626.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.