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Finding the Fourth Proportional to 856.45, 1,277.95 and 804.20

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Solution

The fourth proportional to 856.45, 1,277.95 and 804.20 is: 1,199.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.45 : 1,277.95 = 804.20 : x
  2. Step 2: Convert to fraction form
    856.45/1,277.95 = 804.20/x
  3. Step 3: Cross multiply
    856.45x = 1,277.95 × 804.20
  4. Step 4: Simplify right side
    856.45x = 1,027,728.57
  5. Step 5: Solve for x
    x = 1,027,728.57/856.45
  6. Step 6: Final answer
    x = 1,199.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.