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Finding the Fourth Proportional to 1,460.50, 2,191.77 and 594.82

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Solution

The fourth proportional to 1,460.50, 2,191.77 and 594.82 is: 892.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.50 : 2,191.77 = 594.82 : x
  2. Step 2: Convert to fraction form
    1,460.50/2,191.77 = 594.82/x
  3. Step 3: Cross multiply
    1,460.50x = 2,191.77 × 594.82
  4. Step 4: Simplify right side
    1,460.50x = 1,303,708.63
  5. Step 5: Solve for x
    x = 1,303,708.63/1,460.50
  6. Step 6: Final answer
    x = 892.65

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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.