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Finding the Fourth Proportional to 1,429.70, 2,144.57 and 564

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Solution

The fourth proportional to 1,429.70, 2,144.57 and 564 is: 846.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.70 : 2,144.57 = 564 : x
  2. Step 2: Convert to fraction form
    1,429.70/2,144.57 = 564/x
  3. Step 3: Cross multiply
    1,429.70x = 2,144.57 × 564
  4. Step 4: Simplify right side
    1,429.70x = 1,209,534.66
  5. Step 5: Solve for x
    x = 1,209,534.66/1,429.70
  6. Step 6: Final answer
    x = 846.01

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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.