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Finding the Fourth Proportional to 1,194.18, 1,646.87 and 913.88

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Solution

The fourth proportional to 1,194.18, 1,646.87 and 913.88 is: 1,260.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.18 : 1,646.87 = 913.88 : x
  2. Step 2: Convert to fraction form
    1,194.18/1,646.87 = 913.88/x
  3. Step 3: Cross multiply
    1,194.18x = 1,646.87 × 913.88
  4. Step 4: Simplify right side
    1,194.18x = 1,505,041.10
  5. Step 5: Solve for x
    x = 1,505,041.10/1,194.18
  6. Step 6: Final answer
    x = 1,260.32

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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.