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Finding the Fourth Proportional to 1,594.83, 2,391.83 and 498.63

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Solution

The fourth proportional to 1,594.83, 2,391.83 and 498.63 is: 747.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.83 : 2,391.83 = 498.63 : x
  2. Step 2: Convert to fraction form
    1,594.83/2,391.83 = 498.63/x
  3. Step 3: Cross multiply
    1,594.83x = 2,391.83 × 498.63
  4. Step 4: Simplify right side
    1,594.83x = 1,192,638.19
  5. Step 5: Solve for x
    x = 1,192,638.19/1,594.83
  6. Step 6: Final answer
    x = 747.82

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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.