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Finding the Fourth Proportional to 1,670.86, 2,504.71 and 574.46

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Solution

The fourth proportional to 1,670.86, 2,504.71 and 574.46 is: 861.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.86 : 2,504.71 = 574.46 : x
  2. Step 2: Convert to fraction form
    1,670.86/2,504.71 = 574.46/x
  3. Step 3: Cross multiply
    1,670.86x = 2,504.71 × 574.46
  4. Step 4: Simplify right side
    1,670.86x = 1,438,843.18
  5. Step 5: Solve for x
    x = 1,438,843.18/1,670.86
  6. Step 6: Final answer
    x = 861.14

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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.