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Finding the Fourth Proportional to 705.13, 1,057.24 and 242.86

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Solution

The fourth proportional to 705.13, 1,057.24 and 242.86 is: 364.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.13 : 1,057.24 = 242.86 : x
  2. Step 2: Convert to fraction form
    705.13/1,057.24 = 242.86/x
  3. Step 3: Cross multiply
    705.13x = 1,057.24 × 242.86
  4. Step 4: Simplify right side
    705.13x = 256,761.31
  5. Step 5: Solve for x
    x = 256,761.31/705.13
  6. Step 6: Final answer
    x = 364.13

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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.