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Finding the Fourth Proportional to 1,309.25, 1,963.76 and 616.07

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Solution

The fourth proportional to 1,309.25, 1,963.76 and 616.07 is: 924.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.25 : 1,963.76 = 616.07 : x
  2. Step 2: Convert to fraction form
    1,309.25/1,963.76 = 616.07/x
  3. Step 3: Cross multiply
    1,309.25x = 1,963.76 × 616.07
  4. Step 4: Simplify right side
    1,309.25x = 1,209,800.72
  5. Step 5: Solve for x
    x = 1,209,800.72/1,309.25
  6. Step 6: Final answer
    x = 924.04

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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.