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Finding the Fourth Proportional to 670.88, 1,006.32 and 464.84

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Solution

The fourth proportional to 670.88, 1,006.32 and 464.84 is: 697.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.88 : 1,006.32 = 464.84 : x
  2. Step 2: Convert to fraction form
    670.88/1,006.32 = 464.84/x
  3. Step 3: Cross multiply
    670.88x = 1,006.32 × 464.84
  4. Step 4: Simplify right side
    670.88x = 467,777.79
  5. Step 5: Solve for x
    x = 467,777.79/670.88
  6. Step 6: Final answer
    x = 697.26

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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.