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Finding the Fourth Proportional to 1,323.61, 1,985.10 and 543.37

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Solution

The fourth proportional to 1,323.61, 1,985.10 and 543.37 is: 814.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.61 : 1,985.10 = 543.37 : x
  2. Step 2: Convert to fraction form
    1,323.61/1,985.10 = 543.37/x
  3. Step 3: Cross multiply
    1,323.61x = 1,985.10 × 543.37
  4. Step 4: Simplify right side
    1,323.61x = 1,078,643.79
  5. Step 5: Solve for x
    x = 1,078,643.79/1,323.61
  6. Step 6: Final answer
    x = 814.93

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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.