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Finding the Fourth Proportional to 1,106.19, 1,656.56 and 694.08

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Solution

The fourth proportional to 1,106.19, 1,656.56 and 694.08 is: 1,039.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.19 : 1,656.56 = 694.08 : x
  2. Step 2: Convert to fraction form
    1,106.19/1,656.56 = 694.08/x
  3. Step 3: Cross multiply
    1,106.19x = 1,656.56 × 694.08
  4. Step 4: Simplify right side
    1,106.19x = 1,149,785.16
  5. Step 5: Solve for x
    x = 1,149,785.16/1,106.19
  6. Step 6: Final answer
    x = 1,039.41

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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.