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Finding the Fourth Proportional to 1,460.93, 2,191.39 and 536.49

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Solution

The fourth proportional to 1,460.93, 2,191.39 and 536.49 is: 804.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.93 : 2,191.39 = 536.49 : x
  2. Step 2: Convert to fraction form
    1,460.93/2,191.39 = 536.49/x
  3. Step 3: Cross multiply
    1,460.93x = 2,191.39 × 536.49
  4. Step 4: Simplify right side
    1,460.93x = 1,175,657.48
  5. Step 5: Solve for x
    x = 1,175,657.48/1,460.93
  6. Step 6: Final answer
    x = 804.74

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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.