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Finding the Fourth Proportional to 1,061, 1,464.28 and 618.82

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Solution

The fourth proportional to 1,061, 1,464.28 and 618.82 is: 854.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061 : 1,464.28 = 618.82 : x
  2. Step 2: Convert to fraction form
    1,061/1,464.28 = 618.82/x
  3. Step 3: Cross multiply
    1,061x = 1,464.28 × 618.82
  4. Step 4: Simplify right side
    1,061x = 906,125.75
  5. Step 5: Solve for x
    x = 906,125.75/1,061
  6. Step 6: Final answer
    x = 854.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.