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Finding the Fourth Proportional to 972.69, 1,343.01 and 600.18

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Solution

The fourth proportional to 972.69, 1,343.01 and 600.18 is: 828.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.69 : 1,343.01 = 600.18 : x
  2. Step 2: Convert to fraction form
    972.69/1,343.01 = 600.18/x
  3. Step 3: Cross multiply
    972.69x = 1,343.01 × 600.18
  4. Step 4: Simplify right side
    972.69x = 806,047.74
  5. Step 5: Solve for x
    x = 806,047.74/972.69
  6. Step 6: Final answer
    x = 828.68

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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.