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Finding the Fourth Proportional to 1,102.85, 1,653.68 and 509.22

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Solution

The fourth proportional to 1,102.85, 1,653.68 and 509.22 is: 763.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.85 : 1,653.68 = 509.22 : x
  2. Step 2: Convert to fraction form
    1,102.85/1,653.68 = 509.22/x
  3. Step 3: Cross multiply
    1,102.85x = 1,653.68 × 509.22
  4. Step 4: Simplify right side
    1,102.85x = 842,086.93
  5. Step 5: Solve for x
    x = 842,086.93/1,102.85
  6. Step 6: Final answer
    x = 763.56

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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.