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Finding the Fourth Proportional to 1,564.56, 2,345.76 and 834

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Solution

The fourth proportional to 1,564.56, 2,345.76 and 834 is: 1,250.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.56 : 2,345.76 = 834 : x
  2. Step 2: Convert to fraction form
    1,564.56/2,345.76 = 834/x
  3. Step 3: Cross multiply
    1,564.56x = 2,345.76 × 834
  4. Step 4: Simplify right side
    1,564.56x = 1,956,363.84
  5. Step 5: Solve for x
    x = 1,956,363.84/1,564.56
  6. Step 6: Final answer
    x = 1,250.42

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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.