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Finding the Fourth Proportional to 1,349.81, 2,025.63 and 527.98

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Solution

The fourth proportional to 1,349.81, 2,025.63 and 527.98 is: 792.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.81 : 2,025.63 = 527.98 : x
  2. Step 2: Convert to fraction form
    1,349.81/2,025.63 = 527.98/x
  3. Step 3: Cross multiply
    1,349.81x = 2,025.63 × 527.98
  4. Step 4: Simplify right side
    1,349.81x = 1,069,497.19
  5. Step 5: Solve for x
    x = 1,069,497.19/1,349.81
  6. Step 6: Final answer
    x = 792.33

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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.