Home / 1,031.34-1,546.98-300.93

Finding the Fourth Proportional to 1,031.34, 1,546.98 and 300.93

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Solution

The fourth proportional to 1,031.34, 1,546.98 and 300.93 is: 451.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.34 : 1,546.98 = 300.93 : x
  2. Step 2: Convert to fraction form
    1,031.34/1,546.98 = 300.93/x
  3. Step 3: Cross multiply
    1,031.34x = 1,546.98 × 300.93
  4. Step 4: Simplify right side
    1,031.34x = 465,532.69
  5. Step 5: Solve for x
    x = 465,532.69/1,031.34
  6. Step 6: Final answer
    x = 451.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.