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Finding the Fourth Proportional to 1,049.42, 1,574.33 and 501.23

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Solution

The fourth proportional to 1,049.42, 1,574.33 and 501.23 is: 751.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.42 : 1,574.33 = 501.23 : x
  2. Step 2: Convert to fraction form
    1,049.42/1,574.33 = 501.23/x
  3. Step 3: Cross multiply
    1,049.42x = 1,574.33 × 501.23
  4. Step 4: Simplify right side
    1,049.42x = 789,091.05
  5. Step 5: Solve for x
    x = 789,091.05/1,049.42
  6. Step 6: Final answer
    x = 751.93

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Why These Related Problems?

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