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Finding the Fourth Proportional to 1,020.68, 1,408.58 and 606.68

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Solution

The fourth proportional to 1,020.68, 1,408.58 and 606.68 is: 837.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.68 : 1,408.58 = 606.68 : x
  2. Step 2: Convert to fraction form
    1,020.68/1,408.58 = 606.68/x
  3. Step 3: Cross multiply
    1,020.68x = 1,408.58 × 606.68
  4. Step 4: Simplify right side
    1,020.68x = 854,557.31
  5. Step 5: Solve for x
    x = 854,557.31/1,020.68
  6. Step 6: Final answer
    x = 837.24

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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.