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Finding the Fourth Proportional to 1,175.54, 1,763.27 and 353.82

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Solution

The fourth proportional to 1,175.54, 1,763.27 and 353.82 is: 530.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.54 : 1,763.27 = 353.82 : x
  2. Step 2: Convert to fraction form
    1,175.54/1,763.27 = 353.82/x
  3. Step 3: Cross multiply
    1,175.54x = 1,763.27 × 353.82
  4. Step 4: Simplify right side
    1,175.54x = 623,880.19
  5. Step 5: Solve for x
    x = 623,880.19/1,175.54
  6. Step 6: Final answer
    x = 530.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.