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Finding the Fourth Proportional to 1,323.47, 1,985.78 and 630.14

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Solution

The fourth proportional to 1,323.47, 1,985.78 and 630.14 is: 945.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.47 : 1,985.78 = 630.14 : x
  2. Step 2: Convert to fraction form
    1,323.47/1,985.78 = 630.14/x
  3. Step 3: Cross multiply
    1,323.47x = 1,985.78 × 630.14
  4. Step 4: Simplify right side
    1,323.47x = 1,251,311.06
  5. Step 5: Solve for x
    x = 1,251,311.06/1,323.47
  6. Step 6: Final answer
    x = 945.48

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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.