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Finding the Fourth Proportional to 1,195.28, 1,792.75 and 373.53

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Solution

The fourth proportional to 1,195.28, 1,792.75 and 373.53 is: 560.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.28 : 1,792.75 = 373.53 : x
  2. Step 2: Convert to fraction form
    1,195.28/1,792.75 = 373.53/x
  3. Step 3: Cross multiply
    1,195.28x = 1,792.75 × 373.53
  4. Step 4: Simplify right side
    1,195.28x = 669,645.91
  5. Step 5: Solve for x
    x = 669,645.91/1,195.28
  6. Step 6: Final answer
    x = 560.24

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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.