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Finding the Fourth Proportional to 1,370.72, 2,054.52 and 590.34

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Solution

The fourth proportional to 1,370.72, 2,054.52 and 590.34 is: 884.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.72 : 2,054.52 = 590.34 : x
  2. Step 2: Convert to fraction form
    1,370.72/2,054.52 = 590.34/x
  3. Step 3: Cross multiply
    1,370.72x = 2,054.52 × 590.34
  4. Step 4: Simplify right side
    1,370.72x = 1,212,865.34
  5. Step 5: Solve for x
    x = 1,212,865.34/1,370.72
  6. Step 6: Final answer
    x = 884.84

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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.