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Finding the Fourth Proportional to 1,632.48, 2,447.64 and 657.42

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Solution

The fourth proportional to 1,632.48, 2,447.64 and 657.42 is: 985.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.48 : 2,447.64 = 657.42 : x
  2. Step 2: Convert to fraction form
    1,632.48/2,447.64 = 657.42/x
  3. Step 3: Cross multiply
    1,632.48x = 2,447.64 × 657.42
  4. Step 4: Simplify right side
    1,632.48x = 1,609,127.49
  5. Step 5: Solve for x
    x = 1,609,127.49/1,632.48
  6. Step 6: Final answer
    x = 985.70

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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.