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Finding the Fourth Proportional to 678.08, 934.52 and 511.90

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Solution

The fourth proportional to 678.08, 934.52 and 511.90 is: 705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.08 : 934.52 = 511.90 : x
  2. Step 2: Convert to fraction form
    678.08/934.52 = 511.90/x
  3. Step 3: Cross multiply
    678.08x = 934.52 × 511.90
  4. Step 4: Simplify right side
    678.08x = 478,380.79
  5. Step 5: Solve for x
    x = 478,380.79/678.08
  6. Step 6: Final answer
    x = 705.49

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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.