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Finding the Fourth Proportional to 586.48, 881.09 and 504.47

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Solution

The fourth proportional to 586.48, 881.09 and 504.47 is: 757.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.48 : 881.09 = 504.47 : x
  2. Step 2: Convert to fraction form
    586.48/881.09 = 504.47/x
  3. Step 3: Cross multiply
    586.48x = 881.09 × 504.47
  4. Step 4: Simplify right side
    586.48x = 444,476.54
  5. Step 5: Solve for x
    x = 444,476.54/586.48
  6. Step 6: Final answer
    x = 757.87

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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.