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Finding the Fourth Proportional to 1,007.86, 1,511.60 and 314.44

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Solution

The fourth proportional to 1,007.86, 1,511.60 and 314.44 is: 471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.86 : 1,511.60 = 314.44 : x
  2. Step 2: Convert to fraction form
    1,007.86/1,511.60 = 314.44/x
  3. Step 3: Cross multiply
    1,007.86x = 1,511.60 × 314.44
  4. Step 4: Simplify right side
    1,007.86x = 475,307.50
  5. Step 5: Solve for x
    x = 475,307.50/1,007.86
  6. Step 6: Final answer
    x = 471.60

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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.