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Finding the Fourth Proportional to 1,249.84, 1,875.70 and 470.61

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Solution

The fourth proportional to 1,249.84, 1,875.70 and 470.61 is: 706.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.84 : 1,875.70 = 470.61 : x
  2. Step 2: Convert to fraction form
    1,249.84/1,875.70 = 470.61/x
  3. Step 3: Cross multiply
    1,249.84x = 1,875.70 × 470.61
  4. Step 4: Simplify right side
    1,249.84x = 882,723.18
  5. Step 5: Solve for x
    x = 882,723.18/1,249.84
  6. Step 6: Final answer
    x = 706.27

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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.