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Finding the Fourth Proportional to 780.72, 1,076.00 and 583.89

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Solution

The fourth proportional to 780.72, 1,076.00 and 583.89 is: 804.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.72 : 1,076.00 = 583.89 : x
  2. Step 2: Convert to fraction form
    780.72/1,076.00 = 583.89/x
  3. Step 3: Cross multiply
    780.72x = 1,076.00 × 583.89
  4. Step 4: Simplify right side
    780.72x = 628,262.72
  5. Step 5: Solve for x
    x = 628,262.72/780.72
  6. Step 6: Final answer
    x = 804.72

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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.