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Finding the Fourth Proportional to 1,194.67, 1,792.45 and 464.76

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Solution

The fourth proportional to 1,194.67, 1,792.45 and 464.76 is: 697.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.67 : 1,792.45 = 464.76 : x
  2. Step 2: Convert to fraction form
    1,194.67/1,792.45 = 464.76/x
  3. Step 3: Cross multiply
    1,194.67x = 1,792.45 × 464.76
  4. Step 4: Simplify right side
    1,194.67x = 833,059.06
  5. Step 5: Solve for x
    x = 833,059.06/1,194.67
  6. Step 6: Final answer
    x = 697.31

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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.