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Finding the Fourth Proportional to 1,175.59, 1,618.41 and 1,020.34

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Solution

The fourth proportional to 1,175.59, 1,618.41 and 1,020.34 is: 1,404.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.59 : 1,618.41 = 1,020.34 : x
  2. Step 2: Convert to fraction form
    1,175.59/1,618.41 = 1,020.34/x
  3. Step 3: Cross multiply
    1,175.59x = 1,618.41 × 1,020.34
  4. Step 4: Simplify right side
    1,175.59x = 1,651,328.46
  5. Step 5: Solve for x
    x = 1,651,328.46/1,175.59
  6. Step 6: Final answer
    x = 1,404.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.