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Finding the Fourth Proportional to 888.64, 1,331.46 and 580.04

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Solution

The fourth proportional to 888.64, 1,331.46 and 580.04 is: 869.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.64 : 1,331.46 = 580.04 : x
  2. Step 2: Convert to fraction form
    888.64/1,331.46 = 580.04/x
  3. Step 3: Cross multiply
    888.64x = 1,331.46 × 580.04
  4. Step 4: Simplify right side
    888.64x = 772,300.06
  5. Step 5: Solve for x
    x = 772,300.06/888.64
  6. Step 6: Final answer
    x = 869.08

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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.