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Finding the Fourth Proportional to 1,478.60, 2,040.59 and 889.13

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Solution

The fourth proportional to 1,478.60, 2,040.59 and 889.13 is: 1,227.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.60 : 2,040.59 = 889.13 : x
  2. Step 2: Convert to fraction form
    1,478.60/2,040.59 = 889.13/x
  3. Step 3: Cross multiply
    1,478.60x = 2,040.59 × 889.13
  4. Step 4: Simplify right side
    1,478.60x = 1,814,345.63
  5. Step 5: Solve for x
    x = 1,814,345.63/1,478.60
  6. Step 6: Final answer
    x = 1,227.07

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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.