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Finding the Fourth Proportional to 1,007.94, 1,511.93 and 314.58

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Solution

The fourth proportional to 1,007.94, 1,511.93 and 314.58 is: 471.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.94 : 1,511.93 = 314.58 : x
  2. Step 2: Convert to fraction form
    1,007.94/1,511.93 = 314.58/x
  3. Step 3: Cross multiply
    1,007.94x = 1,511.93 × 314.58
  4. Step 4: Simplify right side
    1,007.94x = 475,621.37
  5. Step 5: Solve for x
    x = 475,621.37/1,007.94
  6. Step 6: Final answer
    x = 471.87

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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.