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Finding the Fourth Proportional to 1,424.70, 1,966.10 and 835.29

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Solution

The fourth proportional to 1,424.70, 1,966.10 and 835.29 is: 1,152.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.70 : 1,966.10 = 835.29 : x
  2. Step 2: Convert to fraction form
    1,424.70/1,966.10 = 835.29/x
  3. Step 3: Cross multiply
    1,424.70x = 1,966.10 × 835.29
  4. Step 4: Simplify right side
    1,424.70x = 1,642,259.49
  5. Step 5: Solve for x
    x = 1,642,259.49/1,424.70
  6. Step 6: Final answer
    x = 1,152.71

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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.