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Finding the Fourth Proportional to 1,323.40, 1,985.30 and 490.52

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Solution

The fourth proportional to 1,323.40, 1,985.30 and 490.52 is: 735.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.40 : 1,985.30 = 490.52 : x
  2. Step 2: Convert to fraction form
    1,323.40/1,985.30 = 490.52/x
  3. Step 3: Cross multiply
    1,323.40x = 1,985.30 × 490.52
  4. Step 4: Simplify right side
    1,323.40x = 973,829.36
  5. Step 5: Solve for x
    x = 973,829.36/1,323.40
  6. Step 6: Final answer
    x = 735.85

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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.