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Finding the Fourth Proportional to 972.86, 1,341.92 and 594.57

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Solution

The fourth proportional to 972.86, 1,341.92 and 594.57 is: 820.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.86 : 1,341.92 = 594.57 : x
  2. Step 2: Convert to fraction form
    972.86/1,341.92 = 594.57/x
  3. Step 3: Cross multiply
    972.86x = 1,341.92 × 594.57
  4. Step 4: Simplify right side
    972.86x = 797,861.00
  5. Step 5: Solve for x
    x = 797,861.00/972.86
  6. Step 6: Final answer
    x = 820.12

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