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Finding the Fourth Proportional to 1,175.60, 1,763.28 and 309.92

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Solution

The fourth proportional to 1,175.60, 1,763.28 and 309.92 is: 464.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.60 : 1,763.28 = 309.92 : x
  2. Step 2: Convert to fraction form
    1,175.60/1,763.28 = 309.92/x
  3. Step 3: Cross multiply
    1,175.60x = 1,763.28 × 309.92
  4. Step 4: Simplify right side
    1,175.60x = 546,475.74
  5. Step 5: Solve for x
    x = 546,475.74/1,175.60
  6. Step 6: Final answer
    x = 464.85

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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.