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Finding the Fourth Proportional to 1,528.44, 2,291.73 and 488.00

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Solution

The fourth proportional to 1,528.44, 2,291.73 and 488.00 is: 731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.44 : 2,291.73 = 488.00 : x
  2. Step 2: Convert to fraction form
    1,528.44/2,291.73 = 488.00/x
  3. Step 3: Cross multiply
    1,528.44x = 2,291.73 × 488.00
  4. Step 4: Simplify right side
    1,528.44x = 1,118,352.78
  5. Step 5: Solve for x
    x = 1,118,352.78/1,528.44
  6. Step 6: Final answer
    x = 731.70

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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.