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Finding the Fourth Proportional to 583.67, 872.88 and 519.08

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Solution

The fourth proportional to 583.67, 872.88 and 519.08 is: 776.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.67 : 872.88 = 519.08 : x
  2. Step 2: Convert to fraction form
    583.67/872.88 = 519.08/x
  3. Step 3: Cross multiply
    583.67x = 872.88 × 519.08
  4. Step 4: Simplify right side
    583.67x = 453,090.19
  5. Step 5: Solve for x
    x = 453,090.19/583.67
  6. Step 6: Final answer
    x = 776.28

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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.