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Finding the Fourth Proportional to 1,023.60, 1,533.32 and 475.02

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Solution

The fourth proportional to 1,023.60, 1,533.32 and 475.02 is: 711.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.60 : 1,533.32 = 475.02 : x
  2. Step 2: Convert to fraction form
    1,023.60/1,533.32 = 475.02/x
  3. Step 3: Cross multiply
    1,023.60x = 1,533.32 × 475.02
  4. Step 4: Simplify right side
    1,023.60x = 728,357.67
  5. Step 5: Solve for x
    x = 728,357.67/1,023.60
  6. Step 6: Final answer
    x = 711.56

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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.