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Finding the Fourth Proportional to 805.90, 1,113.03 and 557.98

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Solution

The fourth proportional to 805.90, 1,113.03 and 557.98 is: 770.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.90 : 1,113.03 = 557.98 : x
  2. Step 2: Convert to fraction form
    805.90/1,113.03 = 557.98/x
  3. Step 3: Cross multiply
    805.90x = 1,113.03 × 557.98
  4. Step 4: Simplify right side
    805.90x = 621,048.48
  5. Step 5: Solve for x
    x = 621,048.48/805.90
  6. Step 6: Final answer
    x = 770.63

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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.