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Finding the Fourth Proportional to 1,168.32, 1,752.30 and 465.48

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Solution

The fourth proportional to 1,168.32, 1,752.30 and 465.48 is: 698.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.32 : 1,752.30 = 465.48 : x
  2. Step 2: Convert to fraction form
    1,168.32/1,752.30 = 465.48/x
  3. Step 3: Cross multiply
    1,168.32x = 1,752.30 × 465.48
  4. Step 4: Simplify right side
    1,168.32x = 815,660.60
  5. Step 5: Solve for x
    x = 815,660.60/1,168.32
  6. Step 6: Final answer
    x = 698.15

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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.