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Finding the Fourth Proportional to 1,172.12, 1,758.17 and 688.24

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Solution

The fourth proportional to 1,172.12, 1,758.17 and 688.24 is: 1,032.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.12 : 1,758.17 = 688.24 : x
  2. Step 2: Convert to fraction form
    1,172.12/1,758.17 = 688.24/x
  3. Step 3: Cross multiply
    1,172.12x = 1,758.17 × 688.24
  4. Step 4: Simplify right side
    1,172.12x = 1,210,030.69
  5. Step 5: Solve for x
    x = 1,210,030.69/1,172.12
  6. Step 6: Final answer
    x = 1,032.35

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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.