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Finding the Fourth Proportional to 1,107.58, 1,673.92 and 1,088.45

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Solution

The fourth proportional to 1,107.58, 1,673.92 and 1,088.45 is: 1,645.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.58 : 1,673.92 = 1,088.45 : x
  2. Step 2: Convert to fraction form
    1,107.58/1,673.92 = 1,088.45/x
  3. Step 3: Cross multiply
    1,107.58x = 1,673.92 × 1,088.45
  4. Step 4: Simplify right side
    1,107.58x = 1,821,978.22
  5. Step 5: Solve for x
    x = 1,821,978.22/1,107.58
  6. Step 6: Final answer
    x = 1,645.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.