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Finding the Fourth Proportional to 1,259.59, 1,890.24 and 437.86

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Solution

The fourth proportional to 1,259.59, 1,890.24 and 437.86 is: 657.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.59 : 1,890.24 = 437.86 : x
  2. Step 2: Convert to fraction form
    1,259.59/1,890.24 = 437.86/x
  3. Step 3: Cross multiply
    1,259.59x = 1,890.24 × 437.86
  4. Step 4: Simplify right side
    1,259.59x = 827,651.04
  5. Step 5: Solve for x
    x = 827,651.04/1,259.59
  6. Step 6: Final answer
    x = 657.08

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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.