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Finding the Fourth Proportional to 1,007.64, 1,511.59 and 314.36

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Solution

The fourth proportional to 1,007.64, 1,511.59 and 314.36 is: 471.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.64 : 1,511.59 = 314.36 : x
  2. Step 2: Convert to fraction form
    1,007.64/1,511.59 = 314.36/x
  3. Step 3: Cross multiply
    1,007.64x = 1,511.59 × 314.36
  4. Step 4: Simplify right side
    1,007.64x = 475,175.87
  5. Step 5: Solve for x
    x = 475,175.87/1,007.64
  6. Step 6: Final answer
    x = 471.58

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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.