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Finding the Fourth Proportional to 882.85, 1,323.06 and 856.57

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Solution

The fourth proportional to 882.85, 1,323.06 and 856.57 is: 1,283.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.85 : 1,323.06 = 856.57 : x
  2. Step 2: Convert to fraction form
    882.85/1,323.06 = 856.57/x
  3. Step 3: Cross multiply
    882.85x = 1,323.06 × 856.57
  4. Step 4: Simplify right side
    882.85x = 1,133,293.50
  5. Step 5: Solve for x
    x = 1,133,293.50/882.85
  6. Step 6: Final answer
    x = 1,283.68

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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.