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Finding the Fourth Proportional to 600.54, 826.74 and 526.74

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Solution

The fourth proportional to 600.54, 826.74 and 526.74 is: 725.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.54 : 826.74 = 526.74 : x
  2. Step 2: Convert to fraction form
    600.54/826.74 = 526.74/x
  3. Step 3: Cross multiply
    600.54x = 826.74 × 526.74
  4. Step 4: Simplify right side
    600.54x = 435,477.03
  5. Step 5: Solve for x
    x = 435,477.03/600.54
  6. Step 6: Final answer
    x = 725.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.