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Finding the Fourth Proportional to 697.35, 962.76 and 539.67

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Solution

The fourth proportional to 697.35, 962.76 and 539.67 is: 745.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.35 : 962.76 = 539.67 : x
  2. Step 2: Convert to fraction form
    697.35/962.76 = 539.67/x
  3. Step 3: Cross multiply
    697.35x = 962.76 × 539.67
  4. Step 4: Simplify right side
    697.35x = 519,572.69
  5. Step 5: Solve for x
    x = 519,572.69/697.35
  6. Step 6: Final answer
    x = 745.07

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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.