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Finding the Fourth Proportional to 657.35, 986.07 and 486.14

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Solution

The fourth proportional to 657.35, 986.07 and 486.14 is: 729.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.35 : 986.07 = 486.14 : x
  2. Step 2: Convert to fraction form
    657.35/986.07 = 486.14/x
  3. Step 3: Cross multiply
    657.35x = 986.07 × 486.14
  4. Step 4: Simplify right side
    657.35x = 479,364.96
  5. Step 5: Solve for x
    x = 479,364.96/657.35
  6. Step 6: Final answer
    x = 729.24

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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.