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Finding the Fourth Proportional to 1,335.48, 1,843.09 and 775.90

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Solution

The fourth proportional to 1,335.48, 1,843.09 and 775.90 is: 1,070.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.48 : 1,843.09 = 775.90 : x
  2. Step 2: Convert to fraction form
    1,335.48/1,843.09 = 775.90/x
  3. Step 3: Cross multiply
    1,335.48x = 1,843.09 × 775.90
  4. Step 4: Simplify right side
    1,335.48x = 1,430,053.90
  5. Step 5: Solve for x
    x = 1,430,053.90/1,335.48
  6. Step 6: Final answer
    x = 1,070.82

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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.