Home / 1,022.29-1,410.51-596.84

Finding the Fourth Proportional to 1,022.29, 1,410.51 and 596.84

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Solution

The fourth proportional to 1,022.29, 1,410.51 and 596.84 is: 823.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.29 : 1,410.51 = 596.84 : x
  2. Step 2: Convert to fraction form
    1,022.29/1,410.51 = 596.84/x
  3. Step 3: Cross multiply
    1,022.29x = 1,410.51 × 596.84
  4. Step 4: Simplify right side
    1,022.29x = 841,848.79
  5. Step 5: Solve for x
    x = 841,848.79/1,022.29
  6. Step 6: Final answer
    x = 823.49

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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.