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Finding the Fourth Proportional to 800.99, 1,105.35 and 469.43

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Solution

The fourth proportional to 800.99, 1,105.35 and 469.43 is: 647.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.99 : 1,105.35 = 469.43 : x
  2. Step 2: Convert to fraction form
    800.99/1,105.35 = 469.43/x
  3. Step 3: Cross multiply
    800.99x = 1,105.35 × 469.43
  4. Step 4: Simplify right side
    800.99x = 518,881.31
  5. Step 5: Solve for x
    x = 518,881.31/800.99
  6. Step 6: Final answer
    x = 647.80

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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.