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Finding the Fourth Proportional to 1,323.24, 1,984.64 and 501.29

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Solution

The fourth proportional to 1,323.24, 1,984.64 and 501.29 is: 751.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.24 : 1,984.64 = 501.29 : x
  2. Step 2: Convert to fraction form
    1,323.24/1,984.64 = 501.29/x
  3. Step 3: Cross multiply
    1,323.24x = 1,984.64 × 501.29
  4. Step 4: Simplify right side
    1,323.24x = 994,875.20
  5. Step 5: Solve for x
    x = 994,875.20/1,323.24
  6. Step 6: Final answer
    x = 751.85

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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.