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Finding the Fourth Proportional to 705.11, 1,057.50 and 242.87

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Solution

The fourth proportional to 705.11, 1,057.50 and 242.87 is: 364.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.11 : 1,057.50 = 242.87 : x
  2. Step 2: Convert to fraction form
    705.11/1,057.50 = 242.87/x
  3. Step 3: Cross multiply
    705.11x = 1,057.50 × 242.87
  4. Step 4: Simplify right side
    705.11x = 256,829.74
  5. Step 5: Solve for x
    x = 256,829.74/705.11
  6. Step 6: Final answer
    x = 364.24

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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.