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Finding the Fourth Proportional to 805.24, 1,110.60 and 510.22

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Solution

The fourth proportional to 805.24, 1,110.60 and 510.22 is: 703.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.24 : 1,110.60 = 510.22 : x
  2. Step 2: Convert to fraction form
    805.24/1,110.60 = 510.22/x
  3. Step 3: Cross multiply
    805.24x = 1,110.60 × 510.22
  4. Step 4: Simplify right side
    805.24x = 566,650.33
  5. Step 5: Solve for x
    x = 566,650.33/805.24
  6. Step 6: Final answer
    x = 703.70

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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.