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Finding the Fourth Proportional to 1,310.18, 1,808.63 and 890.53

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Solution

The fourth proportional to 1,310.18, 1,808.63 and 890.53 is: 1,229.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.18 : 1,808.63 = 890.53 : x
  2. Step 2: Convert to fraction form
    1,310.18/1,808.63 = 890.53/x
  3. Step 3: Cross multiply
    1,310.18x = 1,808.63 × 890.53
  4. Step 4: Simplify right side
    1,310.18x = 1,610,633.64
  5. Step 5: Solve for x
    x = 1,610,633.64/1,310.18
  6. Step 6: Final answer
    x = 1,229.33

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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.