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Finding the Fourth Proportional to 691.07, 953.25 and 411.11

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Solution

The fourth proportional to 691.07, 953.25 and 411.11 is: 567.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.07 : 953.25 = 411.11 : x
  2. Step 2: Convert to fraction form
    691.07/953.25 = 411.11/x
  3. Step 3: Cross multiply
    691.07x = 953.25 × 411.11
  4. Step 4: Simplify right side
    691.07x = 391,885.84
  5. Step 5: Solve for x
    x = 391,885.84/691.07
  6. Step 6: Final answer
    x = 567.08

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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.