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Finding the Fourth Proportional to 1,031.36, 1,546.99 and 569.36

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Solution

The fourth proportional to 1,031.36, 1,546.99 and 569.36 is: 854.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.36 : 1,546.99 = 569.36 : x
  2. Step 2: Convert to fraction form
    1,031.36/1,546.99 = 569.36/x
  3. Step 3: Cross multiply
    1,031.36x = 1,546.99 × 569.36
  4. Step 4: Simplify right side
    1,031.36x = 880,796.67
  5. Step 5: Solve for x
    x = 880,796.67/1,031.36
  6. Step 6: Final answer
    x = 854.02

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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.