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Finding the Fourth Proportional to 783.31, 1,080.60 and 468.40

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Solution

The fourth proportional to 783.31, 1,080.60 and 468.40 is: 646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.31 : 1,080.60 = 468.40 : x
  2. Step 2: Convert to fraction form
    783.31/1,080.60 = 468.40/x
  3. Step 3: Cross multiply
    783.31x = 1,080.60 × 468.40
  4. Step 4: Simplify right side
    783.31x = 506,153.04
  5. Step 5: Solve for x
    x = 506,153.04/783.31
  6. Step 6: Final answer
    x = 646.17

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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.