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Finding the Fourth Proportional to 1,106.11, 1,656.73 and 456.09

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Solution

The fourth proportional to 1,106.11, 1,656.73 and 456.09 is: 683.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.11 : 1,656.73 = 456.09 : x
  2. Step 2: Convert to fraction form
    1,106.11/1,656.73 = 456.09/x
  3. Step 3: Cross multiply
    1,106.11x = 1,656.73 × 456.09
  4. Step 4: Simplify right side
    1,106.11x = 755,617.99
  5. Step 5: Solve for x
    x = 755,617.99/1,106.11
  6. Step 6: Final answer
    x = 683.13

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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.