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Finding the Fourth Proportional to 1,051.30, 1,450.69 and 609.23

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Solution

The fourth proportional to 1,051.30, 1,450.69 and 609.23 is: 840.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.30 : 1,450.69 = 609.23 : x
  2. Step 2: Convert to fraction form
    1,051.30/1,450.69 = 609.23/x
  3. Step 3: Cross multiply
    1,051.30x = 1,450.69 × 609.23
  4. Step 4: Simplify right side
    1,051.30x = 883,803.87
  5. Step 5: Solve for x
    x = 883,803.87/1,051.30
  6. Step 6: Final answer
    x = 840.68

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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.