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Finding the Fourth Proportional to 1,590.09, 2,385.47 and 494.56

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Solution

The fourth proportional to 1,590.09, 2,385.47 and 494.56 is: 741.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.09 : 2,385.47 = 494.56 : x
  2. Step 2: Convert to fraction form
    1,590.09/2,385.47 = 494.56/x
  3. Step 3: Cross multiply
    1,590.09x = 2,385.47 × 494.56
  4. Step 4: Simplify right side
    1,590.09x = 1,179,758.04
  5. Step 5: Solve for x
    x = 1,179,758.04/1,590.09
  6. Step 6: Final answer
    x = 741.94

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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.