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Finding the Fourth Proportional to 1,323.21, 1,985.36 and 707.61

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Solution

The fourth proportional to 1,323.21, 1,985.36 and 707.61 is: 1,061.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.21 : 1,985.36 = 707.61 : x
  2. Step 2: Convert to fraction form
    1,323.21/1,985.36 = 707.61/x
  3. Step 3: Cross multiply
    1,323.21x = 1,985.36 × 707.61
  4. Step 4: Simplify right side
    1,323.21x = 1,404,857.05
  5. Step 5: Solve for x
    x = 1,404,857.05/1,323.21
  6. Step 6: Final answer
    x = 1,061.70

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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.