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Finding the Fourth Proportional to 1,396, 2,094.30 and 471.58

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Solution

The fourth proportional to 1,396, 2,094.30 and 471.58 is: 707.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396 : 2,094.30 = 471.58 : x
  2. Step 2: Convert to fraction form
    1,396/2,094.30 = 471.58/x
  3. Step 3: Cross multiply
    1,396x = 2,094.30 × 471.58
  4. Step 4: Simplify right side
    1,396x = 987,629.99
  5. Step 5: Solve for x
    x = 987,629.99/1,396
  6. Step 6: Final answer
    x = 707.47

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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.