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Finding the Fourth Proportional to 1,089.63, 1,634.44 and 298.99

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Solution

The fourth proportional to 1,089.63, 1,634.44 and 298.99 is: 448.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.63 : 1,634.44 = 298.99 : x
  2. Step 2: Convert to fraction form
    1,089.63/1,634.44 = 298.99/x
  3. Step 3: Cross multiply
    1,089.63x = 1,634.44 × 298.99
  4. Step 4: Simplify right side
    1,089.63x = 488,689.61
  5. Step 5: Solve for x
    x = 488,689.61/1,089.63
  6. Step 6: Final answer
    x = 448.49

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Double scale
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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.