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Finding the Fourth Proportional to 676.98, 934.08 and 511.14

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Solution

The fourth proportional to 676.98, 934.08 and 511.14 is: 705.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.98 : 934.08 = 511.14 : x
  2. Step 2: Convert to fraction form
    676.98/934.08 = 511.14/x
  3. Step 3: Cross multiply
    676.98x = 934.08 × 511.14
  4. Step 4: Simplify right side
    676.98x = 477,445.65
  5. Step 5: Solve for x
    x = 477,445.65/676.98
  6. Step 6: Final answer
    x = 705.26

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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.