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Finding the Fourth Proportional to 963.63, 1,445.09 and 469.89

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Solution

The fourth proportional to 963.63, 1,445.09 and 469.89 is: 704.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.63 : 1,445.09 = 469.89 : x
  2. Step 2: Convert to fraction form
    963.63/1,445.09 = 469.89/x
  3. Step 3: Cross multiply
    963.63x = 1,445.09 × 469.89
  4. Step 4: Simplify right side
    963.63x = 679,033.34
  5. Step 5: Solve for x
    x = 679,033.34/963.63
  6. Step 6: Final answer
    x = 704.66

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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.