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Finding the Fourth Proportional to 1,194.55, 1,649.57 and 899.30

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Solution

The fourth proportional to 1,194.55, 1,649.57 and 899.30 is: 1,241.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.55 : 1,649.57 = 899.30 : x
  2. Step 2: Convert to fraction form
    1,194.55/1,649.57 = 899.30/x
  3. Step 3: Cross multiply
    1,194.55x = 1,649.57 × 899.30
  4. Step 4: Simplify right side
    1,194.55x = 1,483,457.93
  5. Step 5: Solve for x
    x = 1,483,457.93/1,194.55
  6. Step 6: Final answer
    x = 1,241.86

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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.