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Finding the Fourth Proportional to 1,201.64, 1,802.66 and 461.19

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Solution

The fourth proportional to 1,201.64, 1,802.66 and 461.19 is: 691.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.64 : 1,802.66 = 461.19 : x
  2. Step 2: Convert to fraction form
    1,201.64/1,802.66 = 461.19/x
  3. Step 3: Cross multiply
    1,201.64x = 1,802.66 × 461.19
  4. Step 4: Simplify right side
    1,201.64x = 831,373.22
  5. Step 5: Solve for x
    x = 831,373.22/1,201.64
  6. Step 6: Final answer
    x = 691.87

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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.