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Finding the Fourth Proportional to 1,150.64, 1,587 and 684.80

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Solution

The fourth proportional to 1,150.64, 1,587 and 684.80 is: 944.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.64 : 1,587 = 684.80 : x
  2. Step 2: Convert to fraction form
    1,150.64/1,587 = 684.80/x
  3. Step 3: Cross multiply
    1,150.64x = 1,587 × 684.80
  4. Step 4: Simplify right side
    1,150.64x = 1,086,777.60
  5. Step 5: Solve for x
    x = 1,086,777.60/1,150.64
  6. Step 6: Final answer
    x = 944.50

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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.