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Finding the Fourth Proportional to 1,229.19, 1,844.35 and 570.64

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Solution

The fourth proportional to 1,229.19, 1,844.35 and 570.64 is: 856.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.19 : 1,844.35 = 570.64 : x
  2. Step 2: Convert to fraction form
    1,229.19/1,844.35 = 570.64/x
  3. Step 3: Cross multiply
    1,229.19x = 1,844.35 × 570.64
  4. Step 4: Simplify right side
    1,229.19x = 1,052,460.76
  5. Step 5: Solve for x
    x = 1,052,460.76/1,229.19
  6. Step 6: Final answer
    x = 856.22

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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.