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Finding the Fourth Proportional to 705.08, 1,055.57 and 523.29

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Solution

The fourth proportional to 705.08, 1,055.57 and 523.29 is: 783.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.08 : 1,055.57 = 523.29 : x
  2. Step 2: Convert to fraction form
    705.08/1,055.57 = 523.29/x
  3. Step 3: Cross multiply
    705.08x = 1,055.57 × 523.29
  4. Step 4: Simplify right side
    705.08x = 552,363.87
  5. Step 5: Solve for x
    x = 552,363.87/705.08
  6. Step 6: Final answer
    x = 783.41

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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.