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Finding the Fourth Proportional to 783.16, 1,080.52 and 484.36

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Solution

The fourth proportional to 783.16, 1,080.52 and 484.36 is: 668.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.16 : 1,080.52 = 484.36 : x
  2. Step 2: Convert to fraction form
    783.16/1,080.52 = 484.36/x
  3. Step 3: Cross multiply
    783.16x = 1,080.52 × 484.36
  4. Step 4: Simplify right side
    783.16x = 523,360.67
  5. Step 5: Solve for x
    x = 523,360.67/783.16
  6. Step 6: Final answer
    x = 668.27

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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.