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Finding the Fourth Proportional to 1,031.94, 1,548.16 and 301.46

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Solution

The fourth proportional to 1,031.94, 1,548.16 and 301.46 is: 452.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.94 : 1,548.16 = 301.46 : x
  2. Step 2: Convert to fraction form
    1,031.94/1,548.16 = 301.46/x
  3. Step 3: Cross multiply
    1,031.94x = 1,548.16 × 301.46
  4. Step 4: Simplify right side
    1,031.94x = 466,699.82
  5. Step 5: Solve for x
    x = 466,699.82/1,031.94
  6. Step 6: Final answer
    x = 452.25

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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.