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Finding the Fourth Proportional to 1,172.42, 1,617.96 and 675.11

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Solution

The fourth proportional to 1,172.42, 1,617.96 and 675.11 is: 931.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.42 : 1,617.96 = 675.11 : x
  2. Step 2: Convert to fraction form
    1,172.42/1,617.96 = 675.11/x
  3. Step 3: Cross multiply
    1,172.42x = 1,617.96 × 675.11
  4. Step 4: Simplify right side
    1,172.42x = 1,092,300.98
  5. Step 5: Solve for x
    x = 1,092,300.98/1,172.42
  6. Step 6: Final answer
    x = 931.66

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Why These Related Problems?

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