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Finding the Fourth Proportional to 1,323.02, 1,985.55 and 630.02

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Solution

The fourth proportional to 1,323.02, 1,985.55 and 630.02 is: 945.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.02 : 1,985.55 = 630.02 : x
  2. Step 2: Convert to fraction form
    1,323.02/1,985.55 = 630.02/x
  3. Step 3: Cross multiply
    1,323.02x = 1,985.55 × 630.02
  4. Step 4: Simplify right side
    1,323.02x = 1,250,936.21
  5. Step 5: Solve for x
    x = 1,250,936.21/1,323.02
  6. Step 6: Final answer
    x = 945.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.