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Finding the Fourth Proportional to 1,195.58, 1,792.76 and 415.55

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Solution

The fourth proportional to 1,195.58, 1,792.76 and 415.55 is: 623.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.58 : 1,792.76 = 415.55 : x
  2. Step 2: Convert to fraction form
    1,195.58/1,792.76 = 415.55/x
  3. Step 3: Cross multiply
    1,195.58x = 1,792.76 × 415.55
  4. Step 4: Simplify right side
    1,195.58x = 744,970.38
  5. Step 5: Solve for x
    x = 744,970.38/1,195.58
  6. Step 6: Final answer
    x = 623.11

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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.