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Finding the Fourth Proportional to 1,319.27, 1,976.99 and 902.40

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Solution

The fourth proportional to 1,319.27, 1,976.99 and 902.40 is: 1,352.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.27 : 1,976.99 = 902.40 : x
  2. Step 2: Convert to fraction form
    1,319.27/1,976.99 = 902.40/x
  3. Step 3: Cross multiply
    1,319.27x = 1,976.99 × 902.40
  4. Step 4: Simplify right side
    1,319.27x = 1,784,031.26
  5. Step 5: Solve for x
    x = 1,784,031.26/1,319.27
  6. Step 6: Final answer
    x = 1,352.29

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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.