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Finding the Fourth Proportional to 856.67, 1,285.14 and 564.77

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Solution

The fourth proportional to 856.67, 1,285.14 and 564.77 is: 847.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.67 : 1,285.14 = 564.77 : x
  2. Step 2: Convert to fraction form
    856.67/1,285.14 = 564.77/x
  3. Step 3: Cross multiply
    856.67x = 1,285.14 × 564.77
  4. Step 4: Simplify right side
    856.67x = 725,802.09
  5. Step 5: Solve for x
    x = 725,802.09/856.67
  6. Step 6: Final answer
    x = 847.24

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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.