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Finding the Fourth Proportional to 780.09, 1,076.58 and 430.77

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Solution

The fourth proportional to 780.09, 1,076.58 and 430.77 is: 594.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.09 : 1,076.58 = 430.77 : x
  2. Step 2: Convert to fraction form
    780.09/1,076.58 = 430.77/x
  3. Step 3: Cross multiply
    780.09x = 1,076.58 × 430.77
  4. Step 4: Simplify right side
    780.09x = 463,758.37
  5. Step 5: Solve for x
    x = 463,758.37/780.09
  6. Step 6: Final answer
    x = 594.49

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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.