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Finding the Fourth Proportional to 1,450.42, 2,002.13 and 953.49

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Solution

The fourth proportional to 1,450.42, 2,002.13 and 953.49 is: 1,316.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.42 : 2,002.13 = 953.49 : x
  2. Step 2: Convert to fraction form
    1,450.42/2,002.13 = 953.49/x
  3. Step 3: Cross multiply
    1,450.42x = 2,002.13 × 953.49
  4. Step 4: Simplify right side
    1,450.42x = 1,909,010.93
  5. Step 5: Solve for x
    x = 1,909,010.93/1,450.42
  6. Step 6: Final answer
    x = 1,316.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.