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Finding the Fourth Proportional to 998.70, 1,497.74 and 382.35

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Solution

The fourth proportional to 998.70, 1,497.74 and 382.35 is: 573.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.70 : 1,497.74 = 382.35 : x
  2. Step 2: Convert to fraction form
    998.70/1,497.74 = 382.35/x
  3. Step 3: Cross multiply
    998.70x = 1,497.74 × 382.35
  4. Step 4: Simplify right side
    998.70x = 572,666.74
  5. Step 5: Solve for x
    x = 572,666.74/998.70
  6. Step 6: Final answer
    x = 573.41

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1.5x scale

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.