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Finding the Fourth Proportional to 1,528.44, 2,292.64 and 474.27

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Solution

The fourth proportional to 1,528.44, 2,292.64 and 474.27 is: 711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.44 : 2,292.64 = 474.27 : x
  2. Step 2: Convert to fraction form
    1,528.44/2,292.64 = 474.27/x
  3. Step 3: Cross multiply
    1,528.44x = 2,292.64 × 474.27
  4. Step 4: Simplify right side
    1,528.44x = 1,087,330.37
  5. Step 5: Solve for x
    x = 1,087,330.37/1,528.44
  6. Step 6: Final answer
    x = 711.40

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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.