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Finding the Fourth Proportional to 1,116.12, 1,665.12 and 1,055.64

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Solution

The fourth proportional to 1,116.12, 1,665.12 and 1,055.64 is: 1,574.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.12 : 1,665.12 = 1,055.64 : x
  2. Step 2: Convert to fraction form
    1,116.12/1,665.12 = 1,055.64/x
  3. Step 3: Cross multiply
    1,116.12x = 1,665.12 × 1,055.64
  4. Step 4: Simplify right side
    1,116.12x = 1,757,767.28
  5. Step 5: Solve for x
    x = 1,757,767.28/1,116.12
  6. Step 6: Final answer
    x = 1,574.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.