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Finding the Fourth Proportional to 1,449.33, 1,999.45 and 977.53

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Solution

The fourth proportional to 1,449.33, 1,999.45 and 977.53 is: 1,348.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.33 : 1,999.45 = 977.53 : x
  2. Step 2: Convert to fraction form
    1,449.33/1,999.45 = 977.53/x
  3. Step 3: Cross multiply
    1,449.33x = 1,999.45 × 977.53
  4. Step 4: Simplify right side
    1,449.33x = 1,954,509.92
  5. Step 5: Solve for x
    x = 1,954,509.92/1,449.33
  6. Step 6: Final answer
    x = 1,348.57

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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.