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Finding the Fourth Proportional to 1,297.64, 1,789.02 and 1,032.99

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Solution

The fourth proportional to 1,297.64, 1,789.02 and 1,032.99 is: 1,424.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.64 : 1,789.02 = 1,032.99 : x
  2. Step 2: Convert to fraction form
    1,297.64/1,789.02 = 1,032.99/x
  3. Step 3: Cross multiply
    1,297.64x = 1,789.02 × 1,032.99
  4. Step 4: Simplify right side
    1,297.64x = 1,848,039.77
  5. Step 5: Solve for x
    x = 1,848,039.77/1,297.64
  6. Step 6: Final answer
    x = 1,424.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.