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Finding the Fourth Proportional to 800.64, 1,104.89 and 469.07

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Solution

The fourth proportional to 800.64, 1,104.89 and 469.07 is: 647.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.64 : 1,104.89 = 469.07 : x
  2. Step 2: Convert to fraction form
    800.64/1,104.89 = 469.07/x
  3. Step 3: Cross multiply
    800.64x = 1,104.89 × 469.07
  4. Step 4: Simplify right side
    800.64x = 518,270.75
  5. Step 5: Solve for x
    x = 518,270.75/800.64
  6. Step 6: Final answer
    x = 647.32

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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.