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Finding the Fourth Proportional to 1,380.53, 2,071.70 and 600.30

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Solution

The fourth proportional to 1,380.53, 2,071.70 and 600.30 is: 900.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.53 : 2,071.70 = 600.30 : x
  2. Step 2: Convert to fraction form
    1,380.53/2,071.70 = 600.30/x
  3. Step 3: Cross multiply
    1,380.53x = 2,071.70 × 600.30
  4. Step 4: Simplify right side
    1,380.53x = 1,243,638.51
  5. Step 5: Solve for x
    x = 1,243,638.51/1,380.53
  6. Step 6: Final answer
    x = 900.84

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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.