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Finding the Fourth Proportional to 1,259.26, 1,888.70 and 437.60

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Solution

The fourth proportional to 1,259.26, 1,888.70 and 437.60 is: 656.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.26 : 1,888.70 = 437.60 : x
  2. Step 2: Convert to fraction form
    1,259.26/1,888.70 = 437.60/x
  3. Step 3: Cross multiply
    1,259.26x = 1,888.70 × 437.60
  4. Step 4: Simplify right side
    1,259.26x = 826,495.12
  5. Step 5: Solve for x
    x = 826,495.12/1,259.26
  6. Step 6: Final answer
    x = 656.33

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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.