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Finding the Fourth Proportional to 1,653.84, 2,480.82 and 421.28

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Solution

The fourth proportional to 1,653.84, 2,480.82 and 421.28 is: 631.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.84 : 2,480.82 = 421.28 : x
  2. Step 2: Convert to fraction form
    1,653.84/2,480.82 = 421.28/x
  3. Step 3: Cross multiply
    1,653.84x = 2,480.82 × 421.28
  4. Step 4: Simplify right side
    1,653.84x = 1,045,119.85
  5. Step 5: Solve for x
    x = 1,045,119.85/1,653.84
  6. Step 6: Final answer
    x = 631.94

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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.