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Finding the Fourth Proportional to 1,007.63, 1,511.04 and 314.07

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Solution

The fourth proportional to 1,007.63, 1,511.04 and 314.07 is: 470.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.63 : 1,511.04 = 314.07 : x
  2. Step 2: Convert to fraction form
    1,007.63/1,511.04 = 314.07/x
  3. Step 3: Cross multiply
    1,007.63x = 1,511.04 × 314.07
  4. Step 4: Simplify right side
    1,007.63x = 474,563.21
  5. Step 5: Solve for x
    x = 474,563.21/1,007.63
  6. Step 6: Final answer
    x = 470.97

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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.