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Finding the Fourth Proportional to 899.12, 1,348.68 and 412.04

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Solution

The fourth proportional to 899.12, 1,348.68 and 412.04 is: 618.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.12 : 1,348.68 = 412.04 : x
  2. Step 2: Convert to fraction form
    899.12/1,348.68 = 412.04/x
  3. Step 3: Cross multiply
    899.12x = 1,348.68 × 412.04
  4. Step 4: Simplify right side
    899.12x = 555,710.11
  5. Step 5: Solve for x
    x = 555,710.11/899.12
  6. Step 6: Final answer
    x = 618.06

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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.