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Finding the Fourth Proportional to 1,280.99, 1,768.64 and 981.71

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Solution

The fourth proportional to 1,280.99, 1,768.64 and 981.71 is: 1,355.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.99 : 1,768.64 = 981.71 : x
  2. Step 2: Convert to fraction form
    1,280.99/1,768.64 = 981.71/x
  3. Step 3: Cross multiply
    1,280.99x = 1,768.64 × 981.71
  4. Step 4: Simplify right side
    1,280.99x = 1,736,277.82
  5. Step 5: Solve for x
    x = 1,736,277.82/1,280.99
  6. Step 6: Final answer
    x = 1,355.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.