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Finding the Fourth Proportional to 896.47, 1,337.72 and 804.53

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Solution

The fourth proportional to 896.47, 1,337.72 and 804.53 is: 1,200.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.47 : 1,337.72 = 804.53 : x
  2. Step 2: Convert to fraction form
    896.47/1,337.72 = 804.53/x
  3. Step 3: Cross multiply
    896.47x = 1,337.72 × 804.53
  4. Step 4: Simplify right side
    896.47x = 1,076,235.19
  5. Step 5: Solve for x
    x = 1,076,235.19/896.47
  6. Step 6: Final answer
    x = 1,200.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.