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Finding the Fourth Proportional to 899.46, 1,348.65 and 534.33

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Solution

The fourth proportional to 899.46, 1,348.65 and 534.33 is: 801.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.46 : 1,348.65 = 534.33 : x
  2. Step 2: Convert to fraction form
    899.46/1,348.65 = 534.33/x
  3. Step 3: Cross multiply
    899.46x = 1,348.65 × 534.33
  4. Step 4: Simplify right side
    899.46x = 720,624.15
  5. Step 5: Solve for x
    x = 720,624.15/899.46
  6. Step 6: Final answer
    x = 801.17

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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.