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Finding the Fourth Proportional to 962.84, 1,444.26 and 529.76

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Solution

The fourth proportional to 962.84, 1,444.26 and 529.76 is: 794.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.84 : 1,444.26 = 529.76 : x
  2. Step 2: Convert to fraction form
    962.84/1,444.26 = 529.76/x
  3. Step 3: Cross multiply
    962.84x = 1,444.26 × 529.76
  4. Step 4: Simplify right side
    962.84x = 765,103.96
  5. Step 5: Solve for x
    x = 765,103.96/962.84
  6. Step 6: Final answer
    x = 794.64

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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.