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Finding the Fourth Proportional to 577.84, 865.78 and 556.51

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Solution

The fourth proportional to 577.84, 865.78 and 556.51 is: 833.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.84 : 865.78 = 556.51 : x
  2. Step 2: Convert to fraction form
    577.84/865.78 = 556.51/x
  3. Step 3: Cross multiply
    577.84x = 865.78 × 556.51
  4. Step 4: Simplify right side
    577.84x = 481,815.23
  5. Step 5: Solve for x
    x = 481,815.23/577.84
  6. Step 6: Final answer
    x = 833.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.