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Finding the Fourth Proportional to 841.15, 1,261.64 and 264.02

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Solution

The fourth proportional to 841.15, 1,261.64 and 264.02 is: 396.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.15 : 1,261.64 = 264.02 : x
  2. Step 2: Convert to fraction form
    841.15/1,261.64 = 264.02/x
  3. Step 3: Cross multiply
    841.15x = 1,261.64 × 264.02
  4. Step 4: Simplify right side
    841.15x = 333,102.01
  5. Step 5: Solve for x
    x = 333,102.01/841.15
  6. Step 6: Final answer
    x = 396.01

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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.