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Finding the Fourth Proportional to 780.51, 1,077.06 and 426.36

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Solution

The fourth proportional to 780.51, 1,077.06 and 426.36 is: 588.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.51 : 1,077.06 = 426.36 : x
  2. Step 2: Convert to fraction form
    780.51/1,077.06 = 426.36/x
  3. Step 3: Cross multiply
    780.51x = 1,077.06 × 426.36
  4. Step 4: Simplify right side
    780.51x = 459,219.61
  5. Step 5: Solve for x
    x = 459,219.61/780.51
  6. Step 6: Final answer
    x = 588.36

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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.