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Finding the Fourth Proportional to 525.69, 784.80 and 487.62

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Solution

The fourth proportional to 525.69, 784.80 and 487.62 is: 727.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.69 : 784.80 = 487.62 : x
  2. Step 2: Convert to fraction form
    525.69/784.80 = 487.62/x
  3. Step 3: Cross multiply
    525.69x = 784.80 × 487.62
  4. Step 4: Simplify right side
    525.69x = 382,684.18
  5. Step 5: Solve for x
    x = 382,684.18/525.69
  6. Step 6: Final answer
    x = 727.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.