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Finding the Fourth Proportional to 841.53, 1,261.90 and 451.46

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Solution

The fourth proportional to 841.53, 1,261.90 and 451.46 is: 676.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.53 : 1,261.90 = 451.46 : x
  2. Step 2: Convert to fraction form
    841.53/1,261.90 = 451.46/x
  3. Step 3: Cross multiply
    841.53x = 1,261.90 × 451.46
  4. Step 4: Simplify right side
    841.53x = 569,697.37
  5. Step 5: Solve for x
    x = 569,697.37/841.53
  6. Step 6: Final answer
    x = 676.98

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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.