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Finding the Fourth Proportional to 1,280.04, 1,920.66 and 499.85

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Solution

The fourth proportional to 1,280.04, 1,920.66 and 499.85 is: 750.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.04 : 1,920.66 = 499.85 : x
  2. Step 2: Convert to fraction form
    1,280.04/1,920.66 = 499.85/x
  3. Step 3: Cross multiply
    1,280.04x = 1,920.66 × 499.85
  4. Step 4: Simplify right side
    1,280.04x = 960,035.04
  5. Step 5: Solve for x
    x = 960,035.04/1,280.04
  6. Step 6: Final answer
    x = 750.00

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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.