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Finding the Fourth Proportional to 1,396.40, 2,094.37 and 471.93

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Solution

The fourth proportional to 1,396.40, 2,094.37 and 471.93 is: 707.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.40 : 2,094.37 = 471.93 : x
  2. Step 2: Convert to fraction form
    1,396.40/2,094.37 = 471.93/x
  3. Step 3: Cross multiply
    1,396.40x = 2,094.37 × 471.93
  4. Step 4: Simplify right side
    1,396.40x = 988,402.71
  5. Step 5: Solve for x
    x = 988,402.71/1,396.40
  6. Step 6: Final answer
    x = 707.82

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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.