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Finding the Fourth Proportional to 1,021.23, 1,409.11 and 706.01

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Solution

The fourth proportional to 1,021.23, 1,409.11 and 706.01 is: 974.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.23 : 1,409.11 = 706.01 : x
  2. Step 2: Convert to fraction form
    1,021.23/1,409.11 = 706.01/x
  3. Step 3: Cross multiply
    1,021.23x = 1,409.11 × 706.01
  4. Step 4: Simplify right side
    1,021.23x = 994,842.22
  5. Step 5: Solve for x
    x = 994,842.22/1,021.23
  6. Step 6: Final answer
    x = 974.16

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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.