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Finding the Fourth Proportional to 1,370.43, 2,054.97 and 590.31

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Solution

The fourth proportional to 1,370.43, 2,054.97 and 590.31 is: 885.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.43 : 2,054.97 = 590.31 : x
  2. Step 2: Convert to fraction form
    1,370.43/2,054.97 = 590.31/x
  3. Step 3: Cross multiply
    1,370.43x = 2,054.97 × 590.31
  4. Step 4: Simplify right side
    1,370.43x = 1,213,069.34
  5. Step 5: Solve for x
    x = 1,213,069.34/1,370.43
  6. Step 6: Final answer
    x = 885.17

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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.