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Finding the Fourth Proportional to 691.88, 1,038.02 and 204.94

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Solution

The fourth proportional to 691.88, 1,038.02 and 204.94 is: 307.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.88 : 1,038.02 = 204.94 : x
  2. Step 2: Convert to fraction form
    691.88/1,038.02 = 204.94/x
  3. Step 3: Cross multiply
    691.88x = 1,038.02 × 204.94
  4. Step 4: Simplify right side
    691.88x = 212,729.17
  5. Step 5: Solve for x
    x = 212,729.17/691.88
  6. Step 6: Final answer
    x = 307.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.