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Finding the Fourth Proportional to 691.84, 1,038.28 and 471.94

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Solution

The fourth proportional to 691.84, 1,038.28 and 471.94 is: 708.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.84 : 1,038.28 = 471.94 : x
  2. Step 2: Convert to fraction form
    691.84/1,038.28 = 471.94/x
  3. Step 3: Cross multiply
    691.84x = 1,038.28 × 471.94
  4. Step 4: Simplify right side
    691.84x = 490,007.93
  5. Step 5: Solve for x
    x = 490,007.93/691.84
  6. Step 6: Final answer
    x = 708.27

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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.