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Finding the Fourth Proportional to 1,594.17, 2,392.16 and 620.14

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Solution

The fourth proportional to 1,594.17, 2,392.16 and 620.14 is: 930.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.17 : 2,392.16 = 620.14 : x
  2. Step 2: Convert to fraction form
    1,594.17/2,392.16 = 620.14/x
  3. Step 3: Cross multiply
    1,594.17x = 2,392.16 × 620.14
  4. Step 4: Simplify right side
    1,594.17x = 1,483,474.10
  5. Step 5: Solve for x
    x = 1,483,474.10/1,594.17
  6. Step 6: Final answer
    x = 930.56

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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.