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Finding the Fourth Proportional to 1,007.40, 1,511.24 and 313.88

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Solution

The fourth proportional to 1,007.40, 1,511.24 and 313.88 is: 470.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.40 : 1,511.24 = 313.88 : x
  2. Step 2: Convert to fraction form
    1,007.40/1,511.24 = 313.88/x
  3. Step 3: Cross multiply
    1,007.40x = 1,511.24 × 313.88
  4. Step 4: Simplify right side
    1,007.40x = 474,348.01
  5. Step 5: Solve for x
    x = 474,348.01/1,007.40
  6. Step 6: Final answer
    x = 470.86

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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.