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Finding the Fourth Proportional to 1,609.97, 2,415.14 and 569.75

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Solution

The fourth proportional to 1,609.97, 2,415.14 and 569.75 is: 854.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.97 : 2,415.14 = 569.75 : x
  2. Step 2: Convert to fraction form
    1,609.97/2,415.14 = 569.75/x
  3. Step 3: Cross multiply
    1,609.97x = 2,415.14 × 569.75
  4. Step 4: Simplify right side
    1,609.97x = 1,376,026.02
  5. Step 5: Solve for x
    x = 1,376,026.02/1,609.97
  6. Step 6: Final answer
    x = 854.69

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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.