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Finding the Fourth Proportional to 925.74, 1,389.58 and 722.54

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Solution

The fourth proportional to 925.74, 1,389.58 and 722.54 is: 1,084.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.74 : 1,389.58 = 722.54 : x
  2. Step 2: Convert to fraction form
    925.74/1,389.58 = 722.54/x
  3. Step 3: Cross multiply
    925.74x = 1,389.58 × 722.54
  4. Step 4: Simplify right side
    925.74x = 1,004,027.13
  5. Step 5: Solve for x
    x = 1,004,027.13/925.74
  6. Step 6: Final answer
    x = 1,084.57

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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.