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Finding the Fourth Proportional to 1,354.67, 2,031.82 and 477.01

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Solution

The fourth proportional to 1,354.67, 2,031.82 and 477.01 is: 715.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.67 : 2,031.82 = 477.01 : x
  2. Step 2: Convert to fraction form
    1,354.67/2,031.82 = 477.01/x
  3. Step 3: Cross multiply
    1,354.67x = 2,031.82 × 477.01
  4. Step 4: Simplify right side
    1,354.67x = 969,198.46
  5. Step 5: Solve for x
    x = 969,198.46/1,354.67
  6. Step 6: Final answer
    x = 715.45

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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.