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Finding the Fourth Proportional to 1,175.41, 1,756.37 and 896.23

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Solution

The fourth proportional to 1,175.41, 1,756.37 and 896.23 is: 1,339.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.41 : 1,756.37 = 896.23 : x
  2. Step 2: Convert to fraction form
    1,175.41/1,756.37 = 896.23/x
  3. Step 3: Cross multiply
    1,175.41x = 1,756.37 × 896.23
  4. Step 4: Simplify right side
    1,175.41x = 1,574,102.61
  5. Step 5: Solve for x
    x = 1,574,102.61/1,175.41
  6. Step 6: Final answer
    x = 1,339.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.