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Finding the Fourth Proportional to 1,109.07, 1,663.35 and 328.86

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Solution

The fourth proportional to 1,109.07, 1,663.35 and 328.86 is: 493.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.07 : 1,663.35 = 328.86 : x
  2. Step 2: Convert to fraction form
    1,109.07/1,663.35 = 328.86/x
  3. Step 3: Cross multiply
    1,109.07x = 1,663.35 × 328.86
  4. Step 4: Simplify right side
    1,109.07x = 547,009.28
  5. Step 5: Solve for x
    x = 547,009.28/1,109.07
  6. Step 6: Final answer
    x = 493.21

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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.