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Finding the Fourth Proportional to 1,354.42, 2,031.63 and 532.77

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Solution

The fourth proportional to 1,354.42, 2,031.63 and 532.77 is: 799.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.42 : 2,031.63 = 532.77 : x
  2. Step 2: Convert to fraction form
    1,354.42/2,031.63 = 532.77/x
  3. Step 3: Cross multiply
    1,354.42x = 2,031.63 × 532.77
  4. Step 4: Simplify right side
    1,354.42x = 1,082,388.85
  5. Step 5: Solve for x
    x = 1,082,388.85/1,354.42
  6. Step 6: Final answer
    x = 799.16

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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.