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Finding the Fourth Proportional to 1,019.90, 1,407.57 and 600.59

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Solution

The fourth proportional to 1,019.90, 1,407.57 and 600.59 is: 828.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.90 : 1,407.57 = 600.59 : x
  2. Step 2: Convert to fraction form
    1,019.90/1,407.57 = 600.59/x
  3. Step 3: Cross multiply
    1,019.90x = 1,407.57 × 600.59
  4. Step 4: Simplify right side
    1,019.90x = 845,372.47
  5. Step 5: Solve for x
    x = 845,372.47/1,019.90
  6. Step 6: Final answer
    x = 828.88

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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.