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Finding the Fourth Proportional to 614.83, 846.10 and 594.78

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Solution

The fourth proportional to 614.83, 846.10 and 594.78 is: 818.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.83 : 846.10 = 594.78 : x
  2. Step 2: Convert to fraction form
    614.83/846.10 = 594.78/x
  3. Step 3: Cross multiply
    614.83x = 846.10 × 594.78
  4. Step 4: Simplify right side
    614.83x = 503,243.36
  5. Step 5: Solve for x
    x = 503,243.36/614.83
  6. Step 6: Final answer
    x = 818.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.