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Finding the Fourth Proportional to 1,023.36, 1,533.76 and 446.24

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Solution

The fourth proportional to 1,023.36, 1,533.76 and 446.24 is: 668.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.36 : 1,533.76 = 446.24 : x
  2. Step 2: Convert to fraction form
    1,023.36/1,533.76 = 446.24/x
  3. Step 3: Cross multiply
    1,023.36x = 1,533.76 × 446.24
  4. Step 4: Simplify right side
    1,023.36x = 684,425.06
  5. Step 5: Solve for x
    x = 684,425.06/1,023.36
  6. Step 6: Final answer
    x = 668.80

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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.