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Finding the Fourth Proportional to 1,023.36, 1,533.85 and 474.39

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Solution

The fourth proportional to 1,023.36, 1,533.85 and 474.39 is: 711.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.36 : 1,533.85 = 474.39 : x
  2. Step 2: Convert to fraction form
    1,023.36/1,533.85 = 474.39/x
  3. Step 3: Cross multiply
    1,023.36x = 1,533.85 × 474.39
  4. Step 4: Simplify right side
    1,023.36x = 727,643.10
  5. Step 5: Solve for x
    x = 727,643.10/1,023.36
  6. Step 6: Final answer
    x = 711.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.