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Finding the Fourth Proportional to 800.76, 1,104.93 and 469.11

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Solution

The fourth proportional to 800.76, 1,104.93 and 469.11 is: 647.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.76 : 1,104.93 = 469.11 : x
  2. Step 2: Convert to fraction form
    800.76/1,104.93 = 469.11/x
  3. Step 3: Cross multiply
    800.76x = 1,104.93 × 469.11
  4. Step 4: Simplify right side
    800.76x = 518,333.71
  5. Step 5: Solve for x
    x = 518,333.71/800.76
  6. Step 6: Final answer
    x = 647.30

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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.