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Finding the Fourth Proportional to 1,526.42, 2,290.78 and 602.22

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Solution

The fourth proportional to 1,526.42, 2,290.78 and 602.22 is: 903.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.42 : 2,290.78 = 602.22 : x
  2. Step 2: Convert to fraction form
    1,526.42/2,290.78 = 602.22/x
  3. Step 3: Cross multiply
    1,526.42x = 2,290.78 × 602.22
  4. Step 4: Simplify right side
    1,526.42x = 1,379,553.53
  5. Step 5: Solve for x
    x = 1,379,553.53/1,526.42
  6. Step 6: Final answer
    x = 903.78

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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.