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Finding the Fourth Proportional to 800.16, 1,104.06 and 468.52

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Solution

The fourth proportional to 800.16, 1,104.06 and 468.52 is: 646.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.16 : 1,104.06 = 468.52 : x
  2. Step 2: Convert to fraction form
    800.16/1,104.06 = 468.52/x
  3. Step 3: Cross multiply
    800.16x = 1,104.06 × 468.52
  4. Step 4: Simplify right side
    800.16x = 517,274.19
  5. Step 5: Solve for x
    x = 517,274.19/800.16
  6. Step 6: Final answer
    x = 646.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.