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Finding the Fourth Proportional to 587.69, 811.80 and 546.18

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Solution

The fourth proportional to 587.69, 811.80 and 546.18 is: 754.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.69 : 811.80 = 546.18 : x
  2. Step 2: Convert to fraction form
    587.69/811.80 = 546.18/x
  3. Step 3: Cross multiply
    587.69x = 811.80 × 546.18
  4. Step 4: Simplify right side
    587.69x = 443,385.88
  5. Step 5: Solve for x
    x = 443,385.88/587.69
  6. Step 6: Final answer
    x = 754.46

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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.