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Finding the Fourth Proportional to 1,089.95, 1,634.93 and 309.95

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Solution

The fourth proportional to 1,089.95, 1,634.93 and 309.95 is: 464.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.95 : 1,634.93 = 309.95 : x
  2. Step 2: Convert to fraction form
    1,089.95/1,634.93 = 309.95/x
  3. Step 3: Cross multiply
    1,089.95x = 1,634.93 × 309.95
  4. Step 4: Simplify right side
    1,089.95x = 506,738.38
  5. Step 5: Solve for x
    x = 506,738.38/1,089.95
  6. Step 6: Final answer
    x = 464.92

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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.