Home / 1,026.19-1,406.75-1,007.56

Finding the Fourth Proportional to 1,026.19, 1,406.75 and 1,007.56

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Solution

The fourth proportional to 1,026.19, 1,406.75 and 1,007.56 is: 1,381.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.19 : 1,406.75 = 1,007.56 : x
  2. Step 2: Convert to fraction form
    1,026.19/1,406.75 = 1,007.56/x
  3. Step 3: Cross multiply
    1,026.19x = 1,406.75 × 1,007.56
  4. Step 4: Simplify right side
    1,026.19x = 1,417,385.03
  5. Step 5: Solve for x
    x = 1,417,385.03/1,026.19
  6. Step 6: Final answer
    x = 1,381.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.