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Finding the Fourth Proportional to 1,257.69, 1,886.87 and 436.03

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Solution

The fourth proportional to 1,257.69, 1,886.87 and 436.03 is: 654.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.69 : 1,886.87 = 436.03 : x
  2. Step 2: Convert to fraction form
    1,257.69/1,886.87 = 436.03/x
  3. Step 3: Cross multiply
    1,257.69x = 1,886.87 × 436.03
  4. Step 4: Simplify right side
    1,257.69x = 822,731.93
  5. Step 5: Solve for x
    x = 822,731.93/1,257.69
  6. Step 6: Final answer
    x = 654.16

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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.