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Finding the Fourth Proportional to 800.78, 1,105.14 and 469.23

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Solution

The fourth proportional to 800.78, 1,105.14 and 469.23 is: 647.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.78 : 1,105.14 = 469.23 : x
  2. Step 2: Convert to fraction form
    800.78/1,105.14 = 469.23/x
  3. Step 3: Cross multiply
    800.78x = 1,105.14 × 469.23
  4. Step 4: Simplify right side
    800.78x = 518,564.84
  5. Step 5: Solve for x
    x = 518,564.84/800.78
  6. Step 6: Final answer
    x = 647.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.