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Finding the Fourth Proportional to 1,309.34, 1,963.52 and 528.92

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Solution

The fourth proportional to 1,309.34, 1,963.52 and 528.92 is: 793.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.34 : 1,963.52 = 528.92 : x
  2. Step 2: Convert to fraction form
    1,309.34/1,963.52 = 528.92/x
  3. Step 3: Cross multiply
    1,309.34x = 1,963.52 × 528.92
  4. Step 4: Simplify right side
    1,309.34x = 1,038,532.54
  5. Step 5: Solve for x
    x = 1,038,532.54/1,309.34
  6. Step 6: Final answer
    x = 793.18

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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.