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Finding the Fourth Proportional to 689.83, 952.22 and 457.03

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Solution

The fourth proportional to 689.83, 952.22 and 457.03 is: 630.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.83 : 952.22 = 457.03 : x
  2. Step 2: Convert to fraction form
    689.83/952.22 = 457.03/x
  3. Step 3: Cross multiply
    689.83x = 952.22 × 457.03
  4. Step 4: Simplify right side
    689.83x = 435,193.11
  5. Step 5: Solve for x
    x = 435,193.11/689.83
  6. Step 6: Final answer
    x = 630.87

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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.