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Finding the Fourth Proportional to 705.32, 1,058.68 and 539.24

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Solution

The fourth proportional to 705.32, 1,058.68 and 539.24 is: 809.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.32 : 1,058.68 = 539.24 : x
  2. Step 2: Convert to fraction form
    705.32/1,058.68 = 539.24/x
  3. Step 3: Cross multiply
    705.32x = 1,058.68 × 539.24
  4. Step 4: Simplify right side
    705.32x = 570,882.60
  5. Step 5: Solve for x
    x = 570,882.60/705.32
  6. Step 6: Final answer
    x = 809.40

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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.