Home / 1,156.97-1,594.29-1,023.17

Finding the Fourth Proportional to 1,156.97, 1,594.29 and 1,023.17

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Solution

The fourth proportional to 1,156.97, 1,594.29 and 1,023.17 is: 1,409.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.97 : 1,594.29 = 1,023.17 : x
  2. Step 2: Convert to fraction form
    1,156.97/1,594.29 = 1,023.17/x
  3. Step 3: Cross multiply
    1,156.97x = 1,594.29 × 1,023.17
  4. Step 4: Simplify right side
    1,156.97x = 1,631,225.56
  5. Step 5: Solve for x
    x = 1,631,225.56/1,156.97
  6. Step 6: Final answer
    x = 1,409.91

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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.