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Finding the Fourth Proportional to 1,109.32, 1,663.94 and 339.80

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Solution

The fourth proportional to 1,109.32, 1,663.94 and 339.80 is: 509.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.32 : 1,663.94 = 339.80 : x
  2. Step 2: Convert to fraction form
    1,109.32/1,663.94 = 339.80/x
  3. Step 3: Cross multiply
    1,109.32x = 1,663.94 × 339.80
  4. Step 4: Simplify right side
    1,109.32x = 565,406.81
  5. Step 5: Solve for x
    x = 565,406.81/1,109.32
  6. Step 6: Final answer
    x = 509.69

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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.