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Finding the Fourth Proportional to 1,169.45, 1,752.65 and 475.30

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Solution

The fourth proportional to 1,169.45, 1,752.65 and 475.30 is: 712.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.45 : 1,752.65 = 475.30 : x
  2. Step 2: Convert to fraction form
    1,169.45/1,752.65 = 475.30/x
  3. Step 3: Cross multiply
    1,169.45x = 1,752.65 × 475.30
  4. Step 4: Simplify right side
    1,169.45x = 833,023.41
  5. Step 5: Solve for x
    x = 833,023.41/1,169.45
  6. Step 6: Final answer
    x = 712.32

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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.