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Finding the Fourth Proportional to 690.74, 953.56 and 454.84

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Solution

The fourth proportional to 690.74, 953.56 and 454.84 is: 627.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.74 : 953.56 = 454.84 : x
  2. Step 2: Convert to fraction form
    690.74/953.56 = 454.84/x
  3. Step 3: Cross multiply
    690.74x = 953.56 × 454.84
  4. Step 4: Simplify right side
    690.74x = 433,715.42
  5. Step 5: Solve for x
    x = 433,715.42/690.74
  6. Step 6: Final answer
    x = 627.90

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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.