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Finding the Fourth Proportional to 657.80, 985.98 and 464.84

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Solution

The fourth proportional to 657.80, 985.98 and 464.84 is: 696.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.80 : 985.98 = 464.84 : x
  2. Step 2: Convert to fraction form
    657.80/985.98 = 464.84/x
  3. Step 3: Cross multiply
    657.80x = 985.98 × 464.84
  4. Step 4: Simplify right side
    657.80x = 458,322.94
  5. Step 5: Solve for x
    x = 458,322.94/657.80
  6. Step 6: Final answer
    x = 696.75

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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.