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Finding the Fourth Proportional to 1,100.93, 1,651.62 and 894.98

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Solution

The fourth proportional to 1,100.93, 1,651.62 and 894.98 is: 1,342.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.93 : 1,651.62 = 894.98 : x
  2. Step 2: Convert to fraction form
    1,100.93/1,651.62 = 894.98/x
  3. Step 3: Cross multiply
    1,100.93x = 1,651.62 × 894.98
  4. Step 4: Simplify right side
    1,100.93x = 1,478,158.61
  5. Step 5: Solve for x
    x = 1,478,158.61/1,100.93
  6. Step 6: Final answer
    x = 1,342.65

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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.