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Finding the Fourth Proportional to 580.34, 870.99 and 543.85

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Solution

The fourth proportional to 580.34, 870.99 and 543.85 is: 816.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.34 : 870.99 = 543.85 : x
  2. Step 2: Convert to fraction form
    580.34/870.99 = 543.85/x
  3. Step 3: Cross multiply
    580.34x = 870.99 × 543.85
  4. Step 4: Simplify right side
    580.34x = 473,687.91
  5. Step 5: Solve for x
    x = 473,687.91/580.34
  6. Step 6: Final answer
    x = 816.22

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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.