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Finding the Fourth Proportional to 1,285.59, 1,924.80 and 972.27

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Solution

The fourth proportional to 1,285.59, 1,924.80 and 972.27 is: 1,455.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.59 : 1,924.80 = 972.27 : x
  2. Step 2: Convert to fraction form
    1,285.59/1,924.80 = 972.27/x
  3. Step 3: Cross multiply
    1,285.59x = 1,924.80 × 972.27
  4. Step 4: Simplify right side
    1,285.59x = 1,871,425.30
  5. Step 5: Solve for x
    x = 1,871,425.30/1,285.59
  6. Step 6: Final answer
    x = 1,455.69

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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.