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Finding the Fourth Proportional to 715.84, 1,074.51 and 408.28

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Solution

The fourth proportional to 715.84, 1,074.51 and 408.28 is: 612.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.84 : 1,074.51 = 408.28 : x
  2. Step 2: Convert to fraction form
    715.84/1,074.51 = 408.28/x
  3. Step 3: Cross multiply
    715.84x = 1,074.51 × 408.28
  4. Step 4: Simplify right side
    715.84x = 438,700.94
  5. Step 5: Solve for x
    x = 438,700.94/715.84
  6. Step 6: Final answer
    x = 612.85

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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.