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Finding the Fourth Proportional to 1,400.64, 2,100.30 and 522.84

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Solution

The fourth proportional to 1,400.64, 2,100.30 and 522.84 is: 784.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.64 : 2,100.30 = 522.84 : x
  2. Step 2: Convert to fraction form
    1,400.64/2,100.30 = 522.84/x
  3. Step 3: Cross multiply
    1,400.64x = 2,100.30 × 522.84
  4. Step 4: Simplify right side
    1,400.64x = 1,098,120.85
  5. Step 5: Solve for x
    x = 1,098,120.85/1,400.64
  6. Step 6: Final answer
    x = 784.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.