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Finding the Fourth Proportional to 1,412.23, 1,948.60 and 782.73

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Solution

The fourth proportional to 1,412.23, 1,948.60 and 782.73 is: 1,080.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.23 : 1,948.60 = 782.73 : x
  2. Step 2: Convert to fraction form
    1,412.23/1,948.60 = 782.73/x
  3. Step 3: Cross multiply
    1,412.23x = 1,948.60 × 782.73
  4. Step 4: Simplify right side
    1,412.23x = 1,525,227.68
  5. Step 5: Solve for x
    x = 1,525,227.68/1,412.23
  6. Step 6: Final answer
    x = 1,080.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.