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Finding the Fourth Proportional to 1,496.64, 2,065.16 and 833.36

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Solution

The fourth proportional to 1,496.64, 2,065.16 and 833.36 is: 1,149.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.64 : 2,065.16 = 833.36 : x
  2. Step 2: Convert to fraction form
    1,496.64/2,065.16 = 833.36/x
  3. Step 3: Cross multiply
    1,496.64x = 2,065.16 × 833.36
  4. Step 4: Simplify right side
    1,496.64x = 1,721,021.74
  5. Step 5: Solve for x
    x = 1,721,021.74/1,496.64
  6. Step 6: Final answer
    x = 1,149.92

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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.