Home / 1,003.14-1,497.11-977.22

Finding the Fourth Proportional to 1,003.14, 1,497.11 and 977.22

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Solution

The fourth proportional to 1,003.14, 1,497.11 and 977.22 is: 1,458.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.14 : 1,497.11 = 977.22 : x
  2. Step 2: Convert to fraction form
    1,003.14/1,497.11 = 977.22/x
  3. Step 3: Cross multiply
    1,003.14x = 1,497.11 × 977.22
  4. Step 4: Simplify right side
    1,003.14x = 1,463,000.95
  5. Step 5: Solve for x
    x = 1,463,000.95/1,003.14
  6. Step 6: Final answer
    x = 1,458.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.