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Finding the Fourth Proportional to 670.10, 1,003.80 and 464.90

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Solution

The fourth proportional to 670.10, 1,003.80 and 464.90 is: 696.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.10 : 1,003.80 = 464.90 : x
  2. Step 2: Convert to fraction form
    670.10/1,003.80 = 464.90/x
  3. Step 3: Cross multiply
    670.10x = 1,003.80 × 464.90
  4. Step 4: Simplify right side
    670.10x = 466,666.62
  5. Step 5: Solve for x
    x = 466,666.62/670.10
  6. Step 6: Final answer
    x = 696.41

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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.