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Finding the Fourth Proportional to 1,107.32, 1,659.24 and 522.18

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Solution

The fourth proportional to 1,107.32, 1,659.24 and 522.18 is: 782.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.32 : 1,659.24 = 522.18 : x
  2. Step 2: Convert to fraction form
    1,107.32/1,659.24 = 522.18/x
  3. Step 3: Cross multiply
    1,107.32x = 1,659.24 × 522.18
  4. Step 4: Simplify right side
    1,107.32x = 866,421.94
  5. Step 5: Solve for x
    x = 866,421.94/1,107.32
  6. Step 6: Final answer
    x = 782.45

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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.