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Finding the Fourth Proportional to 1,280.05, 1,918.94 and 500.58

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Solution

The fourth proportional to 1,280.05, 1,918.94 and 500.58 is: 750.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.05 : 1,918.94 = 500.58 : x
  2. Step 2: Convert to fraction form
    1,280.05/1,918.94 = 500.58/x
  3. Step 3: Cross multiply
    1,280.05x = 1,918.94 × 500.58
  4. Step 4: Simplify right side
    1,280.05x = 960,583.30
  5. Step 5: Solve for x
    x = 960,583.30/1,280.05
  6. Step 6: Final answer
    x = 750.42

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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.