Home / 1,031.82-1,423.66-583.70

Finding the Fourth Proportional to 1,031.82, 1,423.66 and 583.70

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Solution

The fourth proportional to 1,031.82, 1,423.66 and 583.70 is: 805.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.82 : 1,423.66 = 583.70 : x
  2. Step 2: Convert to fraction form
    1,031.82/1,423.66 = 583.70/x
  3. Step 3: Cross multiply
    1,031.82x = 1,423.66 × 583.70
  4. Step 4: Simplify right side
    1,031.82x = 830,988.24
  5. Step 5: Solve for x
    x = 830,988.24/1,031.82
  6. Step 6: Final answer
    x = 805.36

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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.