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Finding the Fourth Proportional to 800.08, 1,199 and 556.24

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Solution

The fourth proportional to 800.08, 1,199 and 556.24 is: 833.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.08 : 1,199 = 556.24 : x
  2. Step 2: Convert to fraction form
    800.08/1,199 = 556.24/x
  3. Step 3: Cross multiply
    800.08x = 1,199 × 556.24
  4. Step 4: Simplify right side
    800.08x = 666,931.76
  5. Step 5: Solve for x
    x = 666,931.76/800.08
  6. Step 6: Final answer
    x = 833.58

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