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Finding the Fourth Proportional to 1,396.06, 2,093.82 and 530.20

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Solution

The fourth proportional to 1,396.06, 2,093.82 and 530.20 is: 795.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.06 : 2,093.82 = 530.20 : x
  2. Step 2: Convert to fraction form
    1,396.06/2,093.82 = 530.20/x
  3. Step 3: Cross multiply
    1,396.06x = 2,093.82 × 530.20
  4. Step 4: Simplify right side
    1,396.06x = 1,110,143.36
  5. Step 5: Solve for x
    x = 1,110,143.36/1,396.06
  6. Step 6: Final answer
    x = 795.20

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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.