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Finding the Fourth Proportional to 691.82, 954.80 and 429.87

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Solution

The fourth proportional to 691.82, 954.80 and 429.87 is: 593.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.82 : 954.80 = 429.87 : x
  2. Step 2: Convert to fraction form
    691.82/954.80 = 429.87/x
  3. Step 3: Cross multiply
    691.82x = 954.80 × 429.87
  4. Step 4: Simplify right side
    691.82x = 410,439.88
  5. Step 5: Solve for x
    x = 410,439.88/691.82
  6. Step 6: Final answer
    x = 593.28

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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.