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Finding the Fourth Proportional to 1,696.31, 2,544.50 and 542.06

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Solution

The fourth proportional to 1,696.31, 2,544.50 and 542.06 is: 813.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.31 : 2,544.50 = 542.06 : x
  2. Step 2: Convert to fraction form
    1,696.31/2,544.50 = 542.06/x
  3. Step 3: Cross multiply
    1,696.31x = 2,544.50 × 542.06
  4. Step 4: Simplify right side
    1,696.31x = 1,379,271.67
  5. Step 5: Solve for x
    x = 1,379,271.67/1,696.31
  6. Step 6: Final answer
    x = 813.10

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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.