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Finding the Fourth Proportional to 780.03, 1,076.41 and 430.71

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Solution

The fourth proportional to 780.03, 1,076.41 and 430.71 is: 594.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.03 : 1,076.41 = 430.71 : x
  2. Step 2: Convert to fraction form
    780.03/1,076.41 = 430.71/x
  3. Step 3: Cross multiply
    780.03x = 1,076.41 × 430.71
  4. Step 4: Simplify right side
    780.03x = 463,620.55
  5. Step 5: Solve for x
    x = 463,620.55/780.03
  6. Step 6: Final answer
    x = 594.36

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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.