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Finding the Fourth Proportional to 856.04, 1,283.76 and 719.12

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Solution

The fourth proportional to 856.04, 1,283.76 and 719.12 is: 1,078.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.04 : 1,283.76 = 719.12 : x
  2. Step 2: Convert to fraction form
    856.04/1,283.76 = 719.12/x
  3. Step 3: Cross multiply
    856.04x = 1,283.76 × 719.12
  4. Step 4: Simplify right side
    856.04x = 923,177.49
  5. Step 5: Solve for x
    x = 923,177.49/856.04
  6. Step 6: Final answer
    x = 1,078.43

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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.