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Finding the Fourth Proportional to 1,109.69, 1,664.20 and 524.36

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Solution

The fourth proportional to 1,109.69, 1,664.20 and 524.36 is: 786.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.69 : 1,664.20 = 524.36 : x
  2. Step 2: Convert to fraction form
    1,109.69/1,664.20 = 524.36/x
  3. Step 3: Cross multiply
    1,109.69x = 1,664.20 × 524.36
  4. Step 4: Simplify right side
    1,109.69x = 872,639.91
  5. Step 5: Solve for x
    x = 872,639.91/1,109.69
  6. Step 6: Final answer
    x = 786.38

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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.