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Finding the Fourth Proportional to 820.64, 1,228.80 and 675.92

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Solution

The fourth proportional to 820.64, 1,228.80 and 675.92 is: 1,012.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.64 : 1,228.80 = 675.92 : x
  2. Step 2: Convert to fraction form
    820.64/1,228.80 = 675.92/x
  3. Step 3: Cross multiply
    820.64x = 1,228.80 × 675.92
  4. Step 4: Simplify right side
    820.64x = 830,570.50
  5. Step 5: Solve for x
    x = 830,570.50/820.64
  6. Step 6: Final answer
    x = 1,012.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.