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Finding the Fourth Proportional to 1,175.12, 1,621.67 and 651.15

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Solution

The fourth proportional to 1,175.12, 1,621.67 and 651.15 is: 898.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.12 : 1,621.67 = 651.15 : x
  2. Step 2: Convert to fraction form
    1,175.12/1,621.67 = 651.15/x
  3. Step 3: Cross multiply
    1,175.12x = 1,621.67 × 651.15
  4. Step 4: Simplify right side
    1,175.12x = 1,055,947.16
  5. Step 5: Solve for x
    x = 1,055,947.16/1,175.12
  6. Step 6: Final answer
    x = 898.59

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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.