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Finding the Fourth Proportional to 1,201.42, 1,801.80 and 460.87

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Solution

The fourth proportional to 1,201.42, 1,801.80 and 460.87 is: 691.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.42 : 1,801.80 = 460.87 : x
  2. Step 2: Convert to fraction form
    1,201.42/1,801.80 = 460.87/x
  3. Step 3: Cross multiply
    1,201.42x = 1,801.80 × 460.87
  4. Step 4: Simplify right side
    1,201.42x = 830,386.56
  5. Step 5: Solve for x
    x = 830,386.56/1,201.42
  6. Step 6: Final answer
    x = 691.17

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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.