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Finding the Fourth Proportional to 1,322.70, 1,985.13 and 706.83

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Solution

The fourth proportional to 1,322.70, 1,985.13 and 706.83 is: 1,060.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.70 : 1,985.13 = 706.83 : x
  2. Step 2: Convert to fraction form
    1,322.70/1,985.13 = 706.83/x
  3. Step 3: Cross multiply
    1,322.70x = 1,985.13 × 706.83
  4. Step 4: Simplify right side
    1,322.70x = 1,403,149.44
  5. Step 5: Solve for x
    x = 1,403,149.44/1,322.70
  6. Step 6: Final answer
    x = 1,060.82

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