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Finding the Fourth Proportional to 1,696.47, 2,544.71 and 600.86

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Solution

The fourth proportional to 1,696.47, 2,544.71 and 600.86 is: 901.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.47 : 2,544.71 = 600.86 : x
  2. Step 2: Convert to fraction form
    1,696.47/2,544.71 = 600.86/x
  3. Step 3: Cross multiply
    1,696.47x = 2,544.71 × 600.86
  4. Step 4: Simplify right side
    1,696.47x = 1,529,017.81
  5. Step 5: Solve for x
    x = 1,529,017.81/1,696.47
  6. Step 6: Final answer
    x = 901.30

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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.