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Finding the Fourth Proportional to 962.76, 1,442.91 and 524.22

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Solution

The fourth proportional to 962.76, 1,442.91 and 524.22 is: 785.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.76 : 1,442.91 = 524.22 : x
  2. Step 2: Convert to fraction form
    962.76/1,442.91 = 524.22/x
  3. Step 3: Cross multiply
    962.76x = 1,442.91 × 524.22
  4. Step 4: Simplify right side
    962.76x = 756,392.44
  5. Step 5: Solve for x
    x = 756,392.44/962.76
  6. Step 6: Final answer
    x = 785.65

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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.