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Finding the Fourth Proportional to 1,302.45, 1,799.61 and 1,089.51

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Solution

The fourth proportional to 1,302.45, 1,799.61 and 1,089.51 is: 1,505.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.45 : 1,799.61 = 1,089.51 : x
  2. Step 2: Convert to fraction form
    1,302.45/1,799.61 = 1,089.51/x
  3. Step 3: Cross multiply
    1,302.45x = 1,799.61 × 1,089.51
  4. Step 4: Simplify right side
    1,302.45x = 1,960,693.09
  5. Step 5: Solve for x
    x = 1,960,693.09/1,302.45
  6. Step 6: Final answer
    x = 1,505.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.