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Finding the Fourth Proportional to 1,250.23, 1,875.74 and 470.31

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Solution

The fourth proportional to 1,250.23, 1,875.74 and 470.31 is: 705.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.23 : 1,875.74 = 470.31 : x
  2. Step 2: Convert to fraction form
    1,250.23/1,875.74 = 470.31/x
  3. Step 3: Cross multiply
    1,250.23x = 1,875.74 × 470.31
  4. Step 4: Simplify right side
    1,250.23x = 882,179.28
  5. Step 5: Solve for x
    x = 882,179.28/1,250.23
  6. Step 6: Final answer
    x = 705.61

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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.