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Finding the Fourth Proportional to 1,400.14, 2,100.14 and 522.58

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Solution

The fourth proportional to 1,400.14, 2,100.14 and 522.58 is: 783.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.14 : 2,100.14 = 522.58 : x
  2. Step 2: Convert to fraction form
    1,400.14/2,100.14 = 522.58/x
  3. Step 3: Cross multiply
    1,400.14x = 2,100.14 × 522.58
  4. Step 4: Simplify right side
    1,400.14x = 1,097,487.87
  5. Step 5: Solve for x
    x = 1,097,487.87/1,400.14
  6. Step 6: Final answer
    x = 783.84

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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.