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Finding the Fourth Proportional to 1,496.21, 2,064.47 and 832.93

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Solution

The fourth proportional to 1,496.21, 2,064.47 and 832.93 is: 1,149.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.21 : 2,064.47 = 832.93 : x
  2. Step 2: Convert to fraction form
    1,496.21/2,064.47 = 832.93/x
  3. Step 3: Cross multiply
    1,496.21x = 2,064.47 × 832.93
  4. Step 4: Simplify right side
    1,496.21x = 1,719,562.46
  5. Step 5: Solve for x
    x = 1,719,562.46/1,496.21
  6. Step 6: Final answer
    x = 1,149.28

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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.