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Finding the Fourth Proportional to 584.19, 870.47 and 519.56

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Solution

The fourth proportional to 584.19, 870.47 and 519.56 is: 774.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.19 : 870.47 = 519.56 : x
  2. Step 2: Convert to fraction form
    584.19/870.47 = 519.56/x
  3. Step 3: Cross multiply
    584.19x = 870.47 × 519.56
  4. Step 4: Simplify right side
    584.19x = 452,266.01
  5. Step 5: Solve for x
    x = 452,266.01/584.19
  6. Step 6: Final answer
    x = 774.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.