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Finding the Fourth Proportional to 873.96, 1,310.86 and 288.96

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Solution

The fourth proportional to 873.96, 1,310.86 and 288.96 is: 433.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.96 : 1,310.86 = 288.96 : x
  2. Step 2: Convert to fraction form
    873.96/1,310.86 = 288.96/x
  3. Step 3: Cross multiply
    873.96x = 1,310.86 × 288.96
  4. Step 4: Simplify right side
    873.96x = 378,786.11
  5. Step 5: Solve for x
    x = 378,786.11/873.96
  6. Step 6: Final answer
    x = 433.41

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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.