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Finding the Fourth Proportional to 1,194.83, 1,651.14 and 899.58

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Solution

The fourth proportional to 1,194.83, 1,651.14 and 899.58 is: 1,243.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.83 : 1,651.14 = 899.58 : x
  2. Step 2: Convert to fraction form
    1,194.83/1,651.14 = 899.58/x
  3. Step 3: Cross multiply
    1,194.83x = 1,651.14 × 899.58
  4. Step 4: Simplify right side
    1,194.83x = 1,485,332.52
  5. Step 5: Solve for x
    x = 1,485,332.52/1,194.83
  6. Step 6: Final answer
    x = 1,243.14

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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.