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Finding the Fourth Proportional to 1,280.84, 1,919.76 and 971.66

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Solution

The fourth proportional to 1,280.84, 1,919.76 and 971.66 is: 1,456.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.84 : 1,919.76 = 971.66 : x
  2. Step 2: Convert to fraction form
    1,280.84/1,919.76 = 971.66/x
  3. Step 3: Cross multiply
    1,280.84x = 1,919.76 × 971.66
  4. Step 4: Simplify right side
    1,280.84x = 1,865,354.00
  5. Step 5: Solve for x
    x = 1,865,354.00/1,280.84
  6. Step 6: Final answer
    x = 1,456.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.