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Finding the Fourth Proportional to 1,670.73, 2,506.05 and 630.69

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Solution

The fourth proportional to 1,670.73, 2,506.05 and 630.69 is: 946.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.73 : 2,506.05 = 630.69 : x
  2. Step 2: Convert to fraction form
    1,670.73/2,506.05 = 630.69/x
  3. Step 3: Cross multiply
    1,670.73x = 2,506.05 × 630.69
  4. Step 4: Simplify right side
    1,670.73x = 1,580,540.67
  5. Step 5: Solve for x
    x = 1,580,540.67/1,670.73
  6. Step 6: Final answer
    x = 946.02

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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.