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Finding the Fourth Proportional to 688.50, 948.11 and 605.21

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Solution

The fourth proportional to 688.50, 948.11 and 605.21 is: 833.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.50 : 948.11 = 605.21 : x
  2. Step 2: Convert to fraction form
    688.50/948.11 = 605.21/x
  3. Step 3: Cross multiply
    688.50x = 948.11 × 605.21
  4. Step 4: Simplify right side
    688.50x = 573,797.89
  5. Step 5: Solve for x
    x = 573,797.89/688.50
  6. Step 6: Final answer
    x = 833.40

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1.5x scale

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.