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Finding the Fourth Proportional to 678.45, 934.70 and 512.40

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Solution

The fourth proportional to 678.45, 934.70 and 512.40 is: 705.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.45 : 934.70 = 512.40 : x
  2. Step 2: Convert to fraction form
    678.45/934.70 = 512.40/x
  3. Step 3: Cross multiply
    678.45x = 934.70 × 512.40
  4. Step 4: Simplify right side
    678.45x = 478,937.72
  5. Step 5: Solve for x
    x = 478,937.72/678.45
  6. Step 6: Final answer
    x = 705.93

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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.