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Finding the Fourth Proportional to 1,857.22, 2,785.57 and 470.47

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Solution

The fourth proportional to 1,857.22, 2,785.57 and 470.47 is: 705.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.22 : 2,785.57 = 470.47 : x
  2. Step 2: Convert to fraction form
    1,857.22/2,785.57 = 470.47/x
  3. Step 3: Cross multiply
    1,857.22x = 2,785.57 × 470.47
  4. Step 4: Simplify right side
    1,857.22x = 1,310,527.12
  5. Step 5: Solve for x
    x = 1,310,527.12/1,857.22
  6. Step 6: Final answer
    x = 705.64

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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.