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Finding the Fourth Proportional to 1,106.13, 1,659.52 and 643.06

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Solution

The fourth proportional to 1,106.13, 1,659.52 and 643.06 is: 964.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.13 : 1,659.52 = 643.06 : x
  2. Step 2: Convert to fraction form
    1,106.13/1,659.52 = 643.06/x
  3. Step 3: Cross multiply
    1,106.13x = 1,659.52 × 643.06
  4. Step 4: Simplify right side
    1,106.13x = 1,067,173.81
  5. Step 5: Solve for x
    x = 1,067,173.81/1,106.13
  6. Step 6: Final answer
    x = 964.78

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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.