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Finding the Fourth Proportional to 1,097.64, 1,645.38 and 520.92

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Solution

The fourth proportional to 1,097.64, 1,645.38 and 520.92 is: 780.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.64 : 1,645.38 = 520.92 : x
  2. Step 2: Convert to fraction form
    1,097.64/1,645.38 = 520.92/x
  3. Step 3: Cross multiply
    1,097.64x = 1,645.38 × 520.92
  4. Step 4: Simplify right side
    1,097.64x = 857,111.35
  5. Step 5: Solve for x
    x = 857,111.35/1,097.64
  6. Step 6: Final answer
    x = 780.87

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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.