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Finding the Fourth Proportional to 1,708.47, 2,563.17 and 612.81

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Solution

The fourth proportional to 1,708.47, 2,563.17 and 612.81 is: 919.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.47 : 2,563.17 = 612.81 : x
  2. Step 2: Convert to fraction form
    1,708.47/2,563.17 = 612.81/x
  3. Step 3: Cross multiply
    1,708.47x = 2,563.17 × 612.81
  4. Step 4: Simplify right side
    1,708.47x = 1,570,736.21
  5. Step 5: Solve for x
    x = 1,570,736.21/1,708.47
  6. Step 6: Final answer
    x = 919.38

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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.