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Finding the Fourth Proportional to 1,175.29, 1,762.94 and 955.66

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Solution

The fourth proportional to 1,175.29, 1,762.94 and 955.66 is: 1,433.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.29 : 1,762.94 = 955.66 : x
  2. Step 2: Convert to fraction form
    1,175.29/1,762.94 = 955.66/x
  3. Step 3: Cross multiply
    1,175.29x = 1,762.94 × 955.66
  4. Step 4: Simplify right side
    1,175.29x = 1,684,771.24
  5. Step 5: Solve for x
    x = 1,684,771.24/1,175.29
  6. Step 6: Final answer
    x = 1,433.49

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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.