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Finding the Fourth Proportional to 972.43, 1,341.20 and 623.15

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Solution

The fourth proportional to 972.43, 1,341.20 and 623.15 is: 859.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.43 : 1,341.20 = 623.15 : x
  2. Step 2: Convert to fraction form
    972.43/1,341.20 = 623.15/x
  3. Step 3: Cross multiply
    972.43x = 1,341.20 × 623.15
  4. Step 4: Simplify right side
    972.43x = 835,765.66
  5. Step 5: Solve for x
    x = 835,765.66/972.43
  6. Step 6: Final answer
    x = 859.46

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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.