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Finding the Fourth Proportional to 1,021.26, 1,409.34 and 555.50

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Solution

The fourth proportional to 1,021.26, 1,409.34 and 555.50 is: 766.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.26 : 1,409.34 = 555.50 : x
  2. Step 2: Convert to fraction form
    1,021.26/1,409.34 = 555.50/x
  3. Step 3: Cross multiply
    1,021.26x = 1,409.34 × 555.50
  4. Step 4: Simplify right side
    1,021.26x = 782,888.37
  5. Step 5: Solve for x
    x = 782,888.37/1,021.26
  6. Step 6: Final answer
    x = 766.59

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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.