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Finding the Fourth Proportional to 1,504.42, 2,255.03 and 723.93

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Solution

The fourth proportional to 1,504.42, 2,255.03 and 723.93 is: 1,085.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.42 : 2,255.03 = 723.93 : x
  2. Step 2: Convert to fraction form
    1,504.42/2,255.03 = 723.93/x
  3. Step 3: Cross multiply
    1,504.42x = 2,255.03 × 723.93
  4. Step 4: Simplify right side
    1,504.42x = 1,632,483.87
  5. Step 5: Solve for x
    x = 1,632,483.87/1,504.42
  6. Step 6: Final answer
    x = 1,085.13

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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.