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Finding the Fourth Proportional to 1,527.27, 2,290.91 and 553.05

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Solution

The fourth proportional to 1,527.27, 2,290.91 and 553.05 is: 829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.27 : 2,290.91 = 553.05 : x
  2. Step 2: Convert to fraction form
    1,527.27/2,290.91 = 553.05/x
  3. Step 3: Cross multiply
    1,527.27x = 2,290.91 × 553.05
  4. Step 4: Simplify right side
    1,527.27x = 1,266,985.01
  5. Step 5: Solve for x
    x = 1,266,985.01/1,527.27
  6. Step 6: Final answer
    x = 829.58

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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.