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Finding the Fourth Proportional to 676.48, 934.90 and 510.63

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Solution

The fourth proportional to 676.48, 934.90 and 510.63 is: 705.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.48 : 934.90 = 510.63 : x
  2. Step 2: Convert to fraction form
    676.48/934.90 = 510.63/x
  3. Step 3: Cross multiply
    676.48x = 934.90 × 510.63
  4. Step 4: Simplify right side
    676.48x = 477,387.99
  5. Step 5: Solve for x
    x = 477,387.99/676.48
  6. Step 6: Final answer
    x = 705.69

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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.