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Finding the Fourth Proportional to 1,450.13, 2,174.52 and 525.57

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Solution

The fourth proportional to 1,450.13, 2,174.52 and 525.57 is: 788.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.13 : 2,174.52 = 525.57 : x
  2. Step 2: Convert to fraction form
    1,450.13/2,174.52 = 525.57/x
  3. Step 3: Cross multiply
    1,450.13x = 2,174.52 × 525.57
  4. Step 4: Simplify right side
    1,450.13x = 1,142,862.48
  5. Step 5: Solve for x
    x = 1,142,862.48/1,450.13
  6. Step 6: Final answer
    x = 788.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.