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Finding the Fourth Proportional to 1,630.02, 2,444.93 and 534.43

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Solution

The fourth proportional to 1,630.02, 2,444.93 and 534.43 is: 801.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.02 : 2,444.93 = 534.43 : x
  2. Step 2: Convert to fraction form
    1,630.02/2,444.93 = 534.43/x
  3. Step 3: Cross multiply
    1,630.02x = 2,444.93 × 534.43
  4. Step 4: Simplify right side
    1,630.02x = 1,306,629.04
  5. Step 5: Solve for x
    x = 1,306,629.04/1,630.02
  6. Step 6: Final answer
    x = 801.60

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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.