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Finding the Fourth Proportional to 820.76, 1,130.28 and 804.56

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Solution

The fourth proportional to 820.76, 1,130.28 and 804.56 is: 1,107.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.76 : 1,130.28 = 804.56 : x
  2. Step 2: Convert to fraction form
    820.76/1,130.28 = 804.56/x
  3. Step 3: Cross multiply
    820.76x = 1,130.28 × 804.56
  4. Step 4: Simplify right side
    820.76x = 909,378.08
  5. Step 5: Solve for x
    x = 909,378.08/820.76
  6. Step 6: Final answer
    x = 1,107.97

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1.5x scale

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.