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Finding the Fourth Proportional to 1,569.64, 2,354.46 and 399.64

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Solution

The fourth proportional to 1,569.64, 2,354.46 and 399.64 is: 599.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.64 : 2,354.46 = 399.64 : x
  2. Step 2: Convert to fraction form
    1,569.64/2,354.46 = 399.64/x
  3. Step 3: Cross multiply
    1,569.64x = 2,354.46 × 399.64
  4. Step 4: Simplify right side
    1,569.64x = 940,936.39
  5. Step 5: Solve for x
    x = 940,936.39/1,569.64
  6. Step 6: Final answer
    x = 599.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.