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Finding the Fourth Proportional to 622.99, 934.41 and 586.83

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Solution

The fourth proportional to 622.99, 934.41 and 586.83 is: 880.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.99 : 934.41 = 586.83 : x
  2. Step 2: Convert to fraction form
    622.99/934.41 = 586.83/x
  3. Step 3: Cross multiply
    622.99x = 934.41 × 586.83
  4. Step 4: Simplify right side
    622.99x = 548,345.52
  5. Step 5: Solve for x
    x = 548,345.52/622.99
  6. Step 6: Final answer
    x = 880.18

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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.