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Finding the Fourth Proportional to 657.54, 986.58 and 452.07

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Solution

The fourth proportional to 657.54, 986.58 and 452.07 is: 678.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.54 : 986.58 = 452.07 : x
  2. Step 2: Convert to fraction form
    657.54/986.58 = 452.07/x
  3. Step 3: Cross multiply
    657.54x = 986.58 × 452.07
  4. Step 4: Simplify right side
    657.54x = 446,003.22
  5. Step 5: Solve for x
    x = 446,003.22/657.54
  6. Step 6: Final answer
    x = 678.29

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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.