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Finding the Fourth Proportional to 1,670.55, 2,505.14 and 630.38

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Solution

The fourth proportional to 1,670.55, 2,505.14 and 630.38 is: 945.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.55 : 2,505.14 = 630.38 : x
  2. Step 2: Convert to fraction form
    1,670.55/2,505.14 = 630.38/x
  3. Step 3: Cross multiply
    1,670.55x = 2,505.14 × 630.38
  4. Step 4: Simplify right side
    1,670.55x = 1,579,174.48
  5. Step 5: Solve for x
    x = 1,579,174.48/1,670.55
  6. Step 6: Final answer
    x = 945.30

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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.