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Finding the Fourth Proportional to 1,007.91, 1,509.84 and 734.58

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Solution

The fourth proportional to 1,007.91, 1,509.84 and 734.58 is: 1,100.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.91 : 1,509.84 = 734.58 : x
  2. Step 2: Convert to fraction form
    1,007.91/1,509.84 = 734.58/x
  3. Step 3: Cross multiply
    1,007.91x = 1,509.84 × 734.58
  4. Step 4: Simplify right side
    1,007.91x = 1,109,098.27
  5. Step 5: Solve for x
    x = 1,109,098.27/1,007.91
  6. Step 6: Final answer
    x = 1,100.39

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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.