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Finding the Fourth Proportional to 677.84, 934.40 and 520.56

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Solution

The fourth proportional to 677.84, 934.40 and 520.56 is: 717.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.84 : 934.40 = 520.56 : x
  2. Step 2: Convert to fraction form
    677.84/934.40 = 520.56/x
  3. Step 3: Cross multiply
    677.84x = 934.40 × 520.56
  4. Step 4: Simplify right side
    677.84x = 486,411.26
  5. Step 5: Solve for x
    x = 486,411.26/677.84
  6. Step 6: Final answer
    x = 717.59

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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.