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Finding the Fourth Proportional to 1,424.51, 1,965.68 and 835.02

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Solution

The fourth proportional to 1,424.51, 1,965.68 and 835.02 is: 1,152.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.51 : 1,965.68 = 835.02 : x
  2. Step 2: Convert to fraction form
    1,424.51/1,965.68 = 835.02/x
  3. Step 3: Cross multiply
    1,424.51x = 1,965.68 × 835.02
  4. Step 4: Simplify right side
    1,424.51x = 1,641,377.94
  5. Step 5: Solve for x
    x = 1,641,377.94/1,424.51
  6. Step 6: Final answer
    x = 1,152.24

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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.