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Finding the Fourth Proportional to 705.12, 1,058.40 and 544.56

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Solution

The fourth proportional to 705.12, 1,058.40 and 544.56 is: 817.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.12 : 1,058.40 = 544.56 : x
  2. Step 2: Convert to fraction form
    705.12/1,058.40 = 544.56/x
  3. Step 3: Cross multiply
    705.12x = 1,058.40 × 544.56
  4. Step 4: Simplify right side
    705.12x = 576,362.30
  5. Step 5: Solve for x
    x = 576,362.30/705.12
  6. Step 6: Final answer
    x = 817.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.