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Finding the Fourth Proportional to 1,227.72, 1,848.13 and 1,058.16

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Solution

The fourth proportional to 1,227.72, 1,848.13 and 1,058.16 is: 1,592.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.72 : 1,848.13 = 1,058.16 : x
  2. Step 2: Convert to fraction form
    1,227.72/1,848.13 = 1,058.16/x
  3. Step 3: Cross multiply
    1,227.72x = 1,848.13 × 1,058.16
  4. Step 4: Simplify right side
    1,227.72x = 1,955,617.24
  5. Step 5: Solve for x
    x = 1,955,617.24/1,227.72
  6. Step 6: Final answer
    x = 1,592.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.