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Finding the Fourth Proportional to 1,172.63, 1,758.96 and 442.55

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Solution

The fourth proportional to 1,172.63, 1,758.96 and 442.55 is: 663.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.63 : 1,758.96 = 442.55 : x
  2. Step 2: Convert to fraction form
    1,172.63/1,758.96 = 442.55/x
  3. Step 3: Cross multiply
    1,172.63x = 1,758.96 × 442.55
  4. Step 4: Simplify right side
    1,172.63x = 778,418.95
  5. Step 5: Solve for x
    x = 778,418.95/1,172.63
  6. Step 6: Final answer
    x = 663.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.