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Finding the Fourth Proportional to 1,186.02, 1,636.72 and 662.08

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Solution

The fourth proportional to 1,186.02, 1,636.72 and 662.08 is: 913.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.02 : 1,636.72 = 662.08 : x
  2. Step 2: Convert to fraction form
    1,186.02/1,636.72 = 662.08/x
  3. Step 3: Cross multiply
    1,186.02x = 1,636.72 × 662.08
  4. Step 4: Simplify right side
    1,186.02x = 1,083,639.58
  5. Step 5: Solve for x
    x = 1,083,639.58/1,186.02
  6. Step 6: Final answer
    x = 913.68

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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.