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Finding the Fourth Proportional to 941.32, 1,412.28 and 454.10

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Solution

The fourth proportional to 941.32, 1,412.28 and 454.10 is: 681.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.32 : 1,412.28 = 454.10 : x
  2. Step 2: Convert to fraction form
    941.32/1,412.28 = 454.10/x
  3. Step 3: Cross multiply
    941.32x = 1,412.28 × 454.10
  4. Step 4: Simplify right side
    941.32x = 641,316.35
  5. Step 5: Solve for x
    x = 641,316.35/941.32
  6. Step 6: Final answer
    x = 681.29

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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.