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Finding the Fourth Proportional to 1,280.40, 1,920.66 and 458.65

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Solution

The fourth proportional to 1,280.40, 1,920.66 and 458.65 is: 688.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.40 : 1,920.66 = 458.65 : x
  2. Step 2: Convert to fraction form
    1,280.40/1,920.66 = 458.65/x
  3. Step 3: Cross multiply
    1,280.40x = 1,920.66 × 458.65
  4. Step 4: Simplify right side
    1,280.40x = 880,910.71
  5. Step 5: Solve for x
    x = 880,910.71/1,280.40
  6. Step 6: Final answer
    x = 688.00

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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.