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Finding the Fourth Proportional to 941.53, 1,412.16 and 454.45

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Solution

The fourth proportional to 941.53, 1,412.16 and 454.45 is: 681.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.53 : 1,412.16 = 454.45 : x
  2. Step 2: Convert to fraction form
    941.53/1,412.16 = 454.45/x
  3. Step 3: Cross multiply
    941.53x = 1,412.16 × 454.45
  4. Step 4: Simplify right side
    941.53x = 641,756.11
  5. Step 5: Solve for x
    x = 641,756.11/941.53
  6. Step 6: Final answer
    x = 681.61

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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.