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Finding the Fourth Proportional to 651.72, 976.30 and 537.80

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Solution

The fourth proportional to 651.72, 976.30 and 537.80 is: 805.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.72 : 976.30 = 537.80 : x
  2. Step 2: Convert to fraction form
    651.72/976.30 = 537.80/x
  3. Step 3: Cross multiply
    651.72x = 976.30 × 537.80
  4. Step 4: Simplify right side
    651.72x = 525,054.14
  5. Step 5: Solve for x
    x = 525,054.14/651.72
  6. Step 6: Final answer
    x = 805.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.