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Finding the Fourth Proportional to 1,527.01, 2,290.66 and 416.44

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Solution

The fourth proportional to 1,527.01, 2,290.66 and 416.44 is: 624.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.01 : 2,290.66 = 416.44 : x
  2. Step 2: Convert to fraction form
    1,527.01/2,290.66 = 416.44/x
  3. Step 3: Cross multiply
    1,527.01x = 2,290.66 × 416.44
  4. Step 4: Simplify right side
    1,527.01x = 953,922.45
  5. Step 5: Solve for x
    x = 953,922.45/1,527.01
  6. Step 6: Final answer
    x = 624.70

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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.