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Finding the Fourth Proportional to 1,175.46, 1,764.63 and 551.36

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Solution

The fourth proportional to 1,175.46, 1,764.63 and 551.36 is: 827.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.46 : 1,764.63 = 551.36 : x
  2. Step 2: Convert to fraction form
    1,175.46/1,764.63 = 551.36/x
  3. Step 3: Cross multiply
    1,175.46x = 1,764.63 × 551.36
  4. Step 4: Simplify right side
    1,175.46x = 972,946.40
  5. Step 5: Solve for x
    x = 972,946.40/1,175.46
  6. Step 6: Final answer
    x = 827.72

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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.