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Finding the Fourth Proportional to 783.09, 1,080.45 and 468.43

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Solution

The fourth proportional to 783.09, 1,080.45 and 468.43 is: 646.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.09 : 1,080.45 = 468.43 : x
  2. Step 2: Convert to fraction form
    783.09/1,080.45 = 468.43/x
  3. Step 3: Cross multiply
    783.09x = 1,080.45 × 468.43
  4. Step 4: Simplify right side
    783.09x = 506,118.00
  5. Step 5: Solve for x
    x = 506,118.00/783.09
  6. Step 6: Final answer
    x = 646.31

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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.