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Finding the Fourth Proportional to 1,313.07, 1,968.53 and 902.99

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Solution

The fourth proportional to 1,313.07, 1,968.53 and 902.99 is: 1,353.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.07 : 1,968.53 = 902.99 : x
  2. Step 2: Convert to fraction form
    1,313.07/1,968.53 = 902.99/x
  3. Step 3: Cross multiply
    1,313.07x = 1,968.53 × 902.99
  4. Step 4: Simplify right side
    1,313.07x = 1,777,548.55
  5. Step 5: Solve for x
    x = 1,777,548.55/1,313.07
  6. Step 6: Final answer
    x = 1,353.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.