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Finding the Fourth Proportional to 1,418.07, 1,957.05 and 788.80

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Solution

The fourth proportional to 1,418.07, 1,957.05 and 788.80 is: 1,088.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.07 : 1,957.05 = 788.80 : x
  2. Step 2: Convert to fraction form
    1,418.07/1,957.05 = 788.80/x
  3. Step 3: Cross multiply
    1,418.07x = 1,957.05 × 788.80
  4. Step 4: Simplify right side
    1,418.07x = 1,543,721.04
  5. Step 5: Solve for x
    x = 1,543,721.04/1,418.07
  6. Step 6: Final answer
    x = 1,088.61

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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.