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Finding the Fourth Proportional to 800.04, 1,200.47 and 569.60

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Solution

The fourth proportional to 800.04, 1,200.47 and 569.60 is: 854.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.04 : 1,200.47 = 569.60 : x
  2. Step 2: Convert to fraction form
    800.04/1,200.47 = 569.60/x
  3. Step 3: Cross multiply
    800.04x = 1,200.47 × 569.60
  4. Step 4: Simplify right side
    800.04x = 683,778.86
  5. Step 5: Solve for x
    x = 683,778.86/800.04
  6. Step 6: Final answer
    x = 854.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.