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Finding the Fourth Proportional to 857.84, 1,183.82 and 484.84

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Solution

The fourth proportional to 857.84, 1,183.82 and 484.84 is: 669.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.84 : 1,183.82 = 484.84 : x
  2. Step 2: Convert to fraction form
    857.84/1,183.82 = 484.84/x
  3. Step 3: Cross multiply
    857.84x = 1,183.82 × 484.84
  4. Step 4: Simplify right side
    857.84x = 573,963.29
  5. Step 5: Solve for x
    x = 573,963.29/857.84
  6. Step 6: Final answer
    x = 669.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.