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Finding the Fourth Proportional to 1,276.49, 1,914.74 and 582.97

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Solution

The fourth proportional to 1,276.49, 1,914.74 and 582.97 is: 874.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.49 : 1,914.74 = 582.97 : x
  2. Step 2: Convert to fraction form
    1,276.49/1,914.74 = 582.97/x
  3. Step 3: Cross multiply
    1,276.49x = 1,914.74 × 582.97
  4. Step 4: Simplify right side
    1,276.49x = 1,116,237.59
  5. Step 5: Solve for x
    x = 1,116,237.59/1,276.49
  6. Step 6: Final answer
    x = 874.46

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1.5x scale

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.