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Finding the Fourth Proportional to 1,397.39, 1,927.73 and 899.87

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Solution

The fourth proportional to 1,397.39, 1,927.73 and 899.87 is: 1,241.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.39 : 1,927.73 = 899.87 : x
  2. Step 2: Convert to fraction form
    1,397.39/1,927.73 = 899.87/x
  3. Step 3: Cross multiply
    1,397.39x = 1,927.73 × 899.87
  4. Step 4: Simplify right side
    1,397.39x = 1,734,701.90
  5. Step 5: Solve for x
    x = 1,734,701.90/1,397.39
  6. Step 6: Final answer
    x = 1,241.39

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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.