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Finding the Fourth Proportional to 1,051.45, 1,577.18 and 281.95

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Solution

The fourth proportional to 1,051.45, 1,577.18 and 281.95 is: 422.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.45 : 1,577.18 = 281.95 : x
  2. Step 2: Convert to fraction form
    1,051.45/1,577.18 = 281.95/x
  3. Step 3: Cross multiply
    1,051.45x = 1,577.18 × 281.95
  4. Step 4: Simplify right side
    1,051.45x = 444,690.74
  5. Step 5: Solve for x
    x = 444,690.74/1,051.45
  6. Step 6: Final answer
    x = 422.93

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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.