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Finding the Fourth Proportional to 1,020.99, 1,408.59 and 601.08

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Solution

The fourth proportional to 1,020.99, 1,408.59 and 601.08 is: 829.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.99 : 1,408.59 = 601.08 : x
  2. Step 2: Convert to fraction form
    1,020.99/1,408.59 = 601.08/x
  3. Step 3: Cross multiply
    1,020.99x = 1,408.59 × 601.08
  4. Step 4: Simplify right side
    1,020.99x = 846,675.28
  5. Step 5: Solve for x
    x = 846,675.28/1,020.99
  6. Step 6: Final answer
    x = 829.27

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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.