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Finding the Fourth Proportional to 1,060.88, 1,464.17 and 619.02

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Solution

The fourth proportional to 1,060.88, 1,464.17 and 619.02 is: 854.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.88 : 1,464.17 = 619.02 : x
  2. Step 2: Convert to fraction form
    1,060.88/1,464.17 = 619.02/x
  3. Step 3: Cross multiply
    1,060.88x = 1,464.17 × 619.02
  4. Step 4: Simplify right side
    1,060.88x = 906,347.42
  5. Step 5: Solve for x
    x = 906,347.42/1,060.88
  6. Step 6: Final answer
    x = 854.34

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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.