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Finding the Fourth Proportional to 783, 1,080.90 and 606.84

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Solution

The fourth proportional to 783, 1,080.90 and 606.84 is: 837.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    783 : 1,080.90 = 606.84 : x
  2. Step 2: Convert to fraction form
    783/1,080.90 = 606.84/x
  3. Step 3: Cross multiply
    783x = 1,080.90 × 606.84
  4. Step 4: Simplify right side
    783x = 655,933.36
  5. Step 5: Solve for x
    x = 655,933.36/783
  6. Step 6: Final answer
    x = 837.72

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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.