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Finding the Fourth Proportional to 1,607.31, 2,410.43 and 567.14

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Solution

The fourth proportional to 1,607.31, 2,410.43 and 567.14 is: 850.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.31 : 2,410.43 = 567.14 : x
  2. Step 2: Convert to fraction form
    1,607.31/2,410.43 = 567.14/x
  3. Step 3: Cross multiply
    1,607.31x = 2,410.43 × 567.14
  4. Step 4: Simplify right side
    1,607.31x = 1,367,036.38
  5. Step 5: Solve for x
    x = 1,367,036.38/1,607.31
  6. Step 6: Final answer
    x = 850.51

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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.