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Finding the Fourth Proportional to 731.93, 1,009.02 and 451.98

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Solution

The fourth proportional to 731.93, 1,009.02 and 451.98 is: 623.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.93 : 1,009.02 = 451.98 : x
  2. Step 2: Convert to fraction form
    731.93/1,009.02 = 451.98/x
  3. Step 3: Cross multiply
    731.93x = 1,009.02 × 451.98
  4. Step 4: Simplify right side
    731.93x = 456,056.86
  5. Step 5: Solve for x
    x = 456,056.86/731.93
  6. Step 6: Final answer
    x = 623.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.