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Finding the Fourth Proportional to 972.85, 1,342.77 and 580.12

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Solution

The fourth proportional to 972.85, 1,342.77 and 580.12 is: 800.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.85 : 1,342.77 = 580.12 : x
  2. Step 2: Convert to fraction form
    972.85/1,342.77 = 580.12/x
  3. Step 3: Cross multiply
    972.85x = 1,342.77 × 580.12
  4. Step 4: Simplify right side
    972.85x = 778,967.73
  5. Step 5: Solve for x
    x = 778,967.73/972.85
  6. Step 6: Final answer
    x = 800.71

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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.