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Finding the Fourth Proportional to 784.16, 1,082.38 and 489.24

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Solution

The fourth proportional to 784.16, 1,082.38 and 489.24 is: 675.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.16 : 1,082.38 = 489.24 : x
  2. Step 2: Convert to fraction form
    784.16/1,082.38 = 489.24/x
  3. Step 3: Cross multiply
    784.16x = 1,082.38 × 489.24
  4. Step 4: Simplify right side
    784.16x = 529,543.59
  5. Step 5: Solve for x
    x = 529,543.59/784.16
  6. Step 6: Final answer
    x = 675.30

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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.