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Finding the Fourth Proportional to 1,195.71, 1,792.47 and 464.76

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Solution

The fourth proportional to 1,195.71, 1,792.47 and 464.76 is: 696.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.71 : 1,792.47 = 464.76 : x
  2. Step 2: Convert to fraction form
    1,195.71/1,792.47 = 464.76/x
  3. Step 3: Cross multiply
    1,195.71x = 1,792.47 × 464.76
  4. Step 4: Simplify right side
    1,195.71x = 833,068.36
  5. Step 5: Solve for x
    x = 833,068.36/1,195.71
  6. Step 6: Final answer
    x = 696.71

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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.