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Finding the Fourth Proportional to 1,009.60, 1,511.66 and 684.32

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Solution

The fourth proportional to 1,009.60, 1,511.66 and 684.32 is: 1,024.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.60 : 1,511.66 = 684.32 : x
  2. Step 2: Convert to fraction form
    1,009.60/1,511.66 = 684.32/x
  3. Step 3: Cross multiply
    1,009.60x = 1,511.66 × 684.32
  4. Step 4: Simplify right side
    1,009.60x = 1,034,453.32
  5. Step 5: Solve for x
    x = 1,034,453.32/1,009.60
  6. Step 6: Final answer
    x = 1,024.62

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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.