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Finding the Fourth Proportional to 1,186.02, 1,636.60 and 688.68

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Solution

The fourth proportional to 1,186.02, 1,636.60 and 688.68 is: 950.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.02 : 1,636.60 = 688.68 : x
  2. Step 2: Convert to fraction form
    1,186.02/1,636.60 = 688.68/x
  3. Step 3: Cross multiply
    1,186.02x = 1,636.60 × 688.68
  4. Step 4: Simplify right side
    1,186.02x = 1,127,093.69
  5. Step 5: Solve for x
    x = 1,127,093.69/1,186.02
  6. Step 6: Final answer
    x = 950.32

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