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Finding the Fourth Proportional to 1,010.42, 1,514.73 and 361.01

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Solution

The fourth proportional to 1,010.42, 1,514.73 and 361.01 is: 541.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.42 : 1,514.73 = 361.01 : x
  2. Step 2: Convert to fraction form
    1,010.42/1,514.73 = 361.01/x
  3. Step 3: Cross multiply
    1,010.42x = 1,514.73 × 361.01
  4. Step 4: Simplify right side
    1,010.42x = 546,826.25
  5. Step 5: Solve for x
    x = 546,826.25/1,010.42
  6. Step 6: Final answer
    x = 541.18

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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.