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Finding the Fourth Proportional to 1,602.42, 2,403.63 and 448.17

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Solution

The fourth proportional to 1,602.42, 2,403.63 and 448.17 is: 672.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.42 : 2,403.63 = 448.17 : x
  2. Step 2: Convert to fraction form
    1,602.42/2,403.63 = 448.17/x
  3. Step 3: Cross multiply
    1,602.42x = 2,403.63 × 448.17
  4. Step 4: Simplify right side
    1,602.42x = 1,077,234.86
  5. Step 5: Solve for x
    x = 1,077,234.86/1,602.42
  6. Step 6: Final answer
    x = 672.26

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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.