Home / 1,023.98-1,414.60-946.22

Finding the Fourth Proportional to 1,023.98, 1,414.60 and 946.22

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Solution

The fourth proportional to 1,023.98, 1,414.60 and 946.22 is: 1,307.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.98 : 1,414.60 = 946.22 : x
  2. Step 2: Convert to fraction form
    1,023.98/1,414.60 = 946.22/x
  3. Step 3: Cross multiply
    1,023.98x = 1,414.60 × 946.22
  4. Step 4: Simplify right side
    1,023.98x = 1,338,513.37
  5. Step 5: Solve for x
    x = 1,338,513.37/1,023.98
  6. Step 6: Final answer
    x = 1,307.17

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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.