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Finding the Fourth Proportional to 1,449.70, 1,999.97 and 977.90

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Solution

The fourth proportional to 1,449.70, 1,999.97 and 977.90 is: 1,349.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.70 : 1,999.97 = 977.90 : x
  2. Step 2: Convert to fraction form
    1,449.70/1,999.97 = 977.90/x
  3. Step 3: Cross multiply
    1,449.70x = 1,999.97 × 977.90
  4. Step 4: Simplify right side
    1,449.70x = 1,955,765.77
  5. Step 5: Solve for x
    x = 1,955,765.77/1,449.70
  6. Step 6: Final answer
    x = 1,349.08

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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.