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Finding the Fourth Proportional to 1,594.79, 2,392.64 and 499.47

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Solution

The fourth proportional to 1,594.79, 2,392.64 and 499.47 is: 749.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.79 : 2,392.64 = 499.47 : x
  2. Step 2: Convert to fraction form
    1,594.79/2,392.64 = 499.47/x
  3. Step 3: Cross multiply
    1,594.79x = 2,392.64 × 499.47
  4. Step 4: Simplify right side
    1,594.79x = 1,195,042.30
  5. Step 5: Solve for x
    x = 1,195,042.30/1,594.79
  6. Step 6: Final answer
    x = 749.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.