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Finding the Fourth Proportional to 705.92, 1,058.72 and 499.92

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Solution

The fourth proportional to 705.92, 1,058.72 and 499.92 is: 749.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.92 : 1,058.72 = 499.92 : x
  2. Step 2: Convert to fraction form
    705.92/1,058.72 = 499.92/x
  3. Step 3: Cross multiply
    705.92x = 1,058.72 × 499.92
  4. Step 4: Simplify right side
    705.92x = 529,275.30
  5. Step 5: Solve for x
    x = 529,275.30/705.92
  6. Step 6: Final answer
    x = 749.77

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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.