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Finding the Fourth Proportional to 888.56, 1,333.45 and 456.02

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Solution

The fourth proportional to 888.56, 1,333.45 and 456.02 is: 684.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.56 : 1,333.45 = 456.02 : x
  2. Step 2: Convert to fraction form
    888.56/1,333.45 = 456.02/x
  3. Step 3: Cross multiply
    888.56x = 1,333.45 × 456.02
  4. Step 4: Simplify right side
    888.56x = 608,077.59
  5. Step 5: Solve for x
    x = 608,077.59/888.56
  6. Step 6: Final answer
    x = 684.34

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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.