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Finding the Fourth Proportional to 1,172.70, 1,618.85 and 747.51

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Solution

The fourth proportional to 1,172.70, 1,618.85 and 747.51 is: 1,031.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.70 : 1,618.85 = 747.51 : x
  2. Step 2: Convert to fraction form
    1,172.70/1,618.85 = 747.51/x
  3. Step 3: Cross multiply
    1,172.70x = 1,618.85 × 747.51
  4. Step 4: Simplify right side
    1,172.70x = 1,210,108.43
  5. Step 5: Solve for x
    x = 1,210,108.43/1,172.70
  6. Step 6: Final answer
    x = 1,031.90

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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.