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Finding the Fourth Proportional to 784.86, 1,082.72 and 486.20

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Solution

The fourth proportional to 784.86, 1,082.72 and 486.20 is: 670.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.86 : 1,082.72 = 486.20 : x
  2. Step 2: Convert to fraction form
    784.86/1,082.72 = 486.20/x
  3. Step 3: Cross multiply
    784.86x = 1,082.72 × 486.20
  4. Step 4: Simplify right side
    784.86x = 526,418.46
  5. Step 5: Solve for x
    x = 526,418.46/784.86
  6. Step 6: Final answer
    x = 670.72

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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.