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Finding the Fourth Proportional to 780.43, 1,077.00 and 426.35

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Solution

The fourth proportional to 780.43, 1,077.00 and 426.35 is: 588.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.43 : 1,077.00 = 426.35 : x
  2. Step 2: Convert to fraction form
    780.43/1,077.00 = 426.35/x
  3. Step 3: Cross multiply
    780.43x = 1,077.00 × 426.35
  4. Step 4: Simplify right side
    780.43x = 459,182.13
  5. Step 5: Solve for x
    x = 459,182.13/780.43
  6. Step 6: Final answer
    x = 588.37

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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.