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Finding the Fourth Proportional to 1,061.03, 1,464.18 and 619.17

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Solution

The fourth proportional to 1,061.03, 1,464.18 and 619.17 is: 854.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.03 : 1,464.18 = 619.17 : x
  2. Step 2: Convert to fraction form
    1,061.03/1,464.18 = 619.17/x
  3. Step 3: Cross multiply
    1,061.03x = 1,464.18 × 619.17
  4. Step 4: Simplify right side
    1,061.03x = 906,576.33
  5. Step 5: Solve for x
    x = 906,576.33/1,061.03
  6. Step 6: Final answer
    x = 854.43

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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.