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Finding the Fourth Proportional to 587.34, 877.48 and 548.91

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Solution

The fourth proportional to 587.34, 877.48 and 548.91 is: 820.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.34 : 877.48 = 548.91 : x
  2. Step 2: Convert to fraction form
    587.34/877.48 = 548.91/x
  3. Step 3: Cross multiply
    587.34x = 877.48 × 548.91
  4. Step 4: Simplify right side
    587.34x = 481,656.17
  5. Step 5: Solve for x
    x = 481,656.17/587.34
  6. Step 6: Final answer
    x = 820.06

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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.