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Finding the Fourth Proportional to 1,577.23, 2,365.93 and 590.30

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Solution

The fourth proportional to 1,577.23, 2,365.93 and 590.30 is: 885.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.23 : 2,365.93 = 590.30 : x
  2. Step 2: Convert to fraction form
    1,577.23/2,365.93 = 590.30/x
  3. Step 3: Cross multiply
    1,577.23x = 2,365.93 × 590.30
  4. Step 4: Simplify right side
    1,577.23x = 1,396,608.48
  5. Step 5: Solve for x
    x = 1,396,608.48/1,577.23
  6. Step 6: Final answer
    x = 885.48

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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.