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Finding the Fourth Proportional to 808.04, 1,114.02 and 574.76

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Solution

The fourth proportional to 808.04, 1,114.02 and 574.76 is: 792.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.04 : 1,114.02 = 574.76 : x
  2. Step 2: Convert to fraction form
    808.04/1,114.02 = 574.76/x
  3. Step 3: Cross multiply
    808.04x = 1,114.02 × 574.76
  4. Step 4: Simplify right side
    808.04x = 640,294.14
  5. Step 5: Solve for x
    x = 640,294.14/808.04
  6. Step 6: Final answer
    x = 792.40

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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.