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Finding the Fourth Proportional to 1,637.01, 2,453.45 and 711.99

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Solution

The fourth proportional to 1,637.01, 2,453.45 and 711.99 is: 1,067.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.01 : 2,453.45 = 711.99 : x
  2. Step 2: Convert to fraction form
    1,637.01/2,453.45 = 711.99/x
  3. Step 3: Cross multiply
    1,637.01x = 2,453.45 × 711.99
  4. Step 4: Simplify right side
    1,637.01x = 1,746,828.31
  5. Step 5: Solve for x
    x = 1,746,828.31/1,637.01
  6. Step 6: Final answer
    x = 1,067.08

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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.