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Finding the Fourth Proportional to 1,323.74, 1,985.63 and 349.84

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Solution

The fourth proportional to 1,323.74, 1,985.63 and 349.84 is: 524.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.74 : 1,985.63 = 349.84 : x
  2. Step 2: Convert to fraction form
    1,323.74/1,985.63 = 349.84/x
  3. Step 3: Cross multiply
    1,323.74x = 1,985.63 × 349.84
  4. Step 4: Simplify right side
    1,323.74x = 694,644.33
  5. Step 5: Solve for x
    x = 694,644.33/1,323.74
  6. Step 6: Final answer
    x = 524.76

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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.