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Finding the Fourth Proportional to 998.96, 1,378.32 and 584.96

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Solution

The fourth proportional to 998.96, 1,378.32 and 584.96 is: 807.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.96 : 1,378.32 = 584.96 : x
  2. Step 2: Convert to fraction form
    998.96/1,378.32 = 584.96/x
  3. Step 3: Cross multiply
    998.96x = 1,378.32 × 584.96
  4. Step 4: Simplify right side
    998.96x = 806,262.07
  5. Step 5: Solve for x
    x = 806,262.07/998.96
  6. Step 6: Final answer
    x = 807.10

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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.