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Finding the Fourth Proportional to 1,607.35, 2,410.82 and 567.31

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Solution

The fourth proportional to 1,607.35, 2,410.82 and 567.31 is: 850.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.35 : 2,410.82 = 567.31 : x
  2. Step 2: Convert to fraction form
    1,607.35/2,410.82 = 567.31/x
  3. Step 3: Cross multiply
    1,607.35x = 2,410.82 × 567.31
  4. Step 4: Simplify right side
    1,607.35x = 1,367,667.40
  5. Step 5: Solve for x
    x = 1,367,667.40/1,607.35
  6. Step 6: Final answer
    x = 850.89

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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.