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Finding the Fourth Proportional to 1,259.24, 1,886.76 and 437.06

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Solution

The fourth proportional to 1,259.24, 1,886.76 and 437.06 is: 654.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.24 : 1,886.76 = 437.06 : x
  2. Step 2: Convert to fraction form
    1,259.24/1,886.76 = 437.06/x
  3. Step 3: Cross multiply
    1,259.24x = 1,886.76 × 437.06
  4. Step 4: Simplify right side
    1,259.24x = 824,627.33
  5. Step 5: Solve for x
    x = 824,627.33/1,259.24
  6. Step 6: Final answer
    x = 654.86

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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.