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Finding the Fourth Proportional to 1,323.16, 1,985.08 and 501.44

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Solution

The fourth proportional to 1,323.16, 1,985.08 and 501.44 is: 752.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.16 : 1,985.08 = 501.44 : x
  2. Step 2: Convert to fraction form
    1,323.16/1,985.08 = 501.44/x
  3. Step 3: Cross multiply
    1,323.16x = 1,985.08 × 501.44
  4. Step 4: Simplify right side
    1,323.16x = 995,398.52
  5. Step 5: Solve for x
    x = 995,398.52/1,323.16
  6. Step 6: Final answer
    x = 752.29

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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.