Home / 1,038.74-1,433.66-596.93

Finding the Fourth Proportional to 1,038.74, 1,433.66 and 596.93

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Solution

The fourth proportional to 1,038.74, 1,433.66 and 596.93 is: 823.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.74 : 1,433.66 = 596.93 : x
  2. Step 2: Convert to fraction form
    1,038.74/1,433.66 = 596.93/x
  3. Step 3: Cross multiply
    1,038.74x = 1,433.66 × 596.93
  4. Step 4: Simplify right side
    1,038.74x = 855,784.51
  5. Step 5: Solve for x
    x = 855,784.51/1,038.74
  6. Step 6: Final answer
    x = 823.87

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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.