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Finding the Fourth Proportional to 1,020.21, 1,407.64 and 600.58

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Solution

The fourth proportional to 1,020.21, 1,407.64 and 600.58 is: 828.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.21 : 1,407.64 = 600.58 : x
  2. Step 2: Convert to fraction form
    1,020.21/1,407.64 = 600.58/x
  3. Step 3: Cross multiply
    1,020.21x = 1,407.64 × 600.58
  4. Step 4: Simplify right side
    1,020.21x = 845,400.43
  5. Step 5: Solve for x
    x = 845,400.43/1,020.21
  6. Step 6: Final answer
    x = 828.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.