Home / 1,031.96-1,424.35-590.12

Finding the Fourth Proportional to 1,031.96, 1,424.35 and 590.12

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Solution

The fourth proportional to 1,031.96, 1,424.35 and 590.12 is: 814.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.96 : 1,424.35 = 590.12 : x
  2. Step 2: Convert to fraction form
    1,031.96/1,424.35 = 590.12/x
  3. Step 3: Cross multiply
    1,031.96x = 1,424.35 × 590.12
  4. Step 4: Simplify right side
    1,031.96x = 840,537.42
  5. Step 5: Solve for x
    x = 840,537.42/1,031.96
  6. Step 6: Final answer
    x = 814.51

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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.