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Finding the Fourth Proportional to 1,021.77, 1,409.67 and 602.01

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Solution

The fourth proportional to 1,021.77, 1,409.67 and 602.01 is: 830.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.77 : 1,409.67 = 602.01 : x
  2. Step 2: Convert to fraction form
    1,021.77/1,409.67 = 602.01/x
  3. Step 3: Cross multiply
    1,021.77x = 1,409.67 × 602.01
  4. Step 4: Simplify right side
    1,021.77x = 848,635.44
  5. Step 5: Solve for x
    x = 848,635.44/1,021.77
  6. Step 6: Final answer
    x = 830.55

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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.