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Finding the Fourth Proportional to 1,322.29, 1,985.87 and 835.48

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Solution

The fourth proportional to 1,322.29, 1,985.87 and 835.48 is: 1,254.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.29 : 1,985.87 = 835.48 : x
  2. Step 2: Convert to fraction form
    1,322.29/1,985.87 = 835.48/x
  3. Step 3: Cross multiply
    1,322.29x = 1,985.87 × 835.48
  4. Step 4: Simplify right side
    1,322.29x = 1,659,154.67
  5. Step 5: Solve for x
    x = 1,659,154.67/1,322.29
  6. Step 6: Final answer
    x = 1,254.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.