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Finding the Fourth Proportional to 520.70, 708.93 and 519.08

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Solution

The fourth proportional to 520.70, 708.93 and 519.08 is: 706.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.70 : 708.93 = 519.08 : x
  2. Step 2: Convert to fraction form
    520.70/708.93 = 519.08/x
  3. Step 3: Cross multiply
    520.70x = 708.93 × 519.08
  4. Step 4: Simplify right side
    520.70x = 367,987.84
  5. Step 5: Solve for x
    x = 367,987.84/520.70
  6. Step 6: Final answer
    x = 706.72

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.