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Finding the Fourth Proportional to 1,323.69, 1,985.25 and 542.93

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Solution

The fourth proportional to 1,323.69, 1,985.25 and 542.93 is: 814.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.69 : 1,985.25 = 542.93 : x
  2. Step 2: Convert to fraction form
    1,323.69/1,985.25 = 542.93/x
  3. Step 3: Cross multiply
    1,323.69x = 1,985.25 × 542.93
  4. Step 4: Simplify right side
    1,323.69x = 1,077,843.89
  5. Step 5: Solve for x
    x = 1,077,843.89/1,323.69
  6. Step 6: Final answer
    x = 814.27

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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.