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Finding the Fourth Proportional to 873.99, 1,311.16 and 288.97

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Solution

The fourth proportional to 873.99, 1,311.16 and 288.97 is: 433.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.99 : 1,311.16 = 288.97 : x
  2. Step 2: Convert to fraction form
    873.99/1,311.16 = 288.97/x
  3. Step 3: Cross multiply
    873.99x = 1,311.16 × 288.97
  4. Step 4: Simplify right side
    873.99x = 378,884.46
  5. Step 5: Solve for x
    x = 378,884.46/873.99
  6. Step 6: Final answer
    x = 433.51

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1.5x scale

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.