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Finding the Fourth Proportional to 1,527.01, 2,290.55 and 431.37

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Solution

The fourth proportional to 1,527.01, 2,290.55 and 431.37 is: 647.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.01 : 2,290.55 = 431.37 : x
  2. Step 2: Convert to fraction form
    1,527.01/2,290.55 = 431.37/x
  3. Step 3: Cross multiply
    1,527.01x = 2,290.55 × 431.37
  4. Step 4: Simplify right side
    1,527.01x = 988,072.40
  5. Step 5: Solve for x
    x = 988,072.40/1,527.01
  6. Step 6: Final answer
    x = 647.06

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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.