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Finding the Fourth Proportional to 1,276.71, 1,914.38 and 582.95

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Solution

The fourth proportional to 1,276.71, 1,914.38 and 582.95 is: 874.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.71 : 1,914.38 = 582.95 : x
  2. Step 2: Convert to fraction form
    1,276.71/1,914.38 = 582.95/x
  3. Step 3: Cross multiply
    1,276.71x = 1,914.38 × 582.95
  4. Step 4: Simplify right side
    1,276.71x = 1,115,984.39
  5. Step 5: Solve for x
    x = 1,115,984.39/1,276.71
  6. Step 6: Final answer
    x = 874.11

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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.