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Finding the Fourth Proportional to 1,109.16, 1,663.84 and 287.45

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Solution

The fourth proportional to 1,109.16, 1,663.84 and 287.45 is: 431.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.16 : 1,663.84 = 287.45 : x
  2. Step 2: Convert to fraction form
    1,109.16/1,663.84 = 287.45/x
  3. Step 3: Cross multiply
    1,109.16x = 1,663.84 × 287.45
  4. Step 4: Simplify right side
    1,109.16x = 478,269.09
  5. Step 5: Solve for x
    x = 478,269.09/1,109.16
  6. Step 6: Final answer
    x = 431.20

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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.