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Finding the Fourth Proportional to 1,577.21, 2,365.80 and 603.54

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Solution

The fourth proportional to 1,577.21, 2,365.80 and 603.54 is: 905.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.21 : 2,365.80 = 603.54 : x
  2. Step 2: Convert to fraction form
    1,577.21/2,365.80 = 603.54/x
  3. Step 3: Cross multiply
    1,577.21x = 2,365.80 × 603.54
  4. Step 4: Simplify right side
    1,577.21x = 1,427,854.93
  5. Step 5: Solve for x
    x = 1,427,854.93/1,577.21
  6. Step 6: Final answer
    x = 905.31

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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.