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Finding the Fourth Proportional to 1,434.08, 2,150.88 and 568.16

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Solution

The fourth proportional to 1,434.08, 2,150.88 and 568.16 is: 852.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.08 : 2,150.88 = 568.16 : x
  2. Step 2: Convert to fraction form
    1,434.08/2,150.88 = 568.16/x
  3. Step 3: Cross multiply
    1,434.08x = 2,150.88 × 568.16
  4. Step 4: Simplify right side
    1,434.08x = 1,222,043.98
  5. Step 5: Solve for x
    x = 1,222,043.98/1,434.08
  6. Step 6: Final answer
    x = 852.14

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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.