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Finding the Fourth Proportional to 1,280.48, 1,920.65 and 356.09

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Solution

The fourth proportional to 1,280.48, 1,920.65 and 356.09 is: 534.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.48 : 1,920.65 = 356.09 : x
  2. Step 2: Convert to fraction form
    1,280.48/1,920.65 = 356.09/x
  3. Step 3: Cross multiply
    1,280.48x = 1,920.65 × 356.09
  4. Step 4: Simplify right side
    1,280.48x = 683,925.15
  5. Step 5: Solve for x
    x = 683,925.15/1,280.48
  6. Step 6: Final answer
    x = 534.12

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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.