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Finding the Fourth Proportional to 1,696.70, 2,543.61 and 771.93

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Solution

The fourth proportional to 1,696.70, 2,543.61 and 771.93 is: 1,157.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.70 : 2,543.61 = 771.93 : x
  2. Step 2: Convert to fraction form
    1,696.70/2,543.61 = 771.93/x
  3. Step 3: Cross multiply
    1,696.70x = 2,543.61 × 771.93
  4. Step 4: Simplify right side
    1,696.70x = 1,963,491.37
  5. Step 5: Solve for x
    x = 1,963,491.37/1,696.70
  6. Step 6: Final answer
    x = 1,157.24

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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.