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Finding the Fourth Proportional to 1,175.55, 1,763.48 and 395.22

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Solution

The fourth proportional to 1,175.55, 1,763.48 and 395.22 is: 592.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.55 : 1,763.48 = 395.22 : x
  2. Step 2: Convert to fraction form
    1,175.55/1,763.48 = 395.22/x
  3. Step 3: Cross multiply
    1,175.55x = 1,763.48 × 395.22
  4. Step 4: Simplify right side
    1,175.55x = 696,963.55
  5. Step 5: Solve for x
    x = 696,963.55/1,175.55
  6. Step 6: Final answer
    x = 592.88

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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.