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Finding the Fourth Proportional to 1,577.55, 2,365.23 and 699.58

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Solution

The fourth proportional to 1,577.55, 2,365.23 and 699.58 is: 1,048.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.55 : 2,365.23 = 699.58 : x
  2. Step 2: Convert to fraction form
    1,577.55/2,365.23 = 699.58/x
  3. Step 3: Cross multiply
    1,577.55x = 2,365.23 × 699.58
  4. Step 4: Simplify right side
    1,577.55x = 1,654,667.60
  5. Step 5: Solve for x
    x = 1,654,667.60/1,577.55
  6. Step 6: Final answer
    x = 1,048.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.