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Finding the Fourth Proportional to 651.57, 897.66 and 520.35

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Solution

The fourth proportional to 651.57, 897.66 and 520.35 is: 716.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.57 : 897.66 = 520.35 : x
  2. Step 2: Convert to fraction form
    651.57/897.66 = 520.35/x
  3. Step 3: Cross multiply
    651.57x = 897.66 × 520.35
  4. Step 4: Simplify right side
    651.57x = 467,097.38
  5. Step 5: Solve for x
    x = 467,097.38/651.57
  6. Step 6: Final answer
    x = 716.88

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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.