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Finding the Fourth Proportional to 1,187.77, 1,639.05 and 656.65

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Solution

The fourth proportional to 1,187.77, 1,639.05 and 656.65 is: 906.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.77 : 1,639.05 = 656.65 : x
  2. Step 2: Convert to fraction form
    1,187.77/1,639.05 = 656.65/x
  3. Step 3: Cross multiply
    1,187.77x = 1,639.05 × 656.65
  4. Step 4: Simplify right side
    1,187.77x = 1,076,282.18
  5. Step 5: Solve for x
    x = 1,076,282.18/1,187.77
  6. Step 6: Final answer
    x = 906.14

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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.