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Finding the Fourth Proportional to 1,638.63, 2,458.31 and 542.99

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Solution

The fourth proportional to 1,638.63, 2,458.31 and 542.99 is: 814.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.63 : 2,458.31 = 542.99 : x
  2. Step 2: Convert to fraction form
    1,638.63/2,458.31 = 542.99/x
  3. Step 3: Cross multiply
    1,638.63x = 2,458.31 × 542.99
  4. Step 4: Simplify right side
    1,638.63x = 1,334,822.74
  5. Step 5: Solve for x
    x = 1,334,822.74/1,638.63
  6. Step 6: Final answer
    x = 814.60

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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.