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Finding the Fourth Proportional to 783.26, 1,080.30 and 468.50

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Solution

The fourth proportional to 783.26, 1,080.30 and 468.50 is: 646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.26 : 1,080.30 = 468.50 : x
  2. Step 2: Convert to fraction form
    783.26/1,080.30 = 468.50/x
  3. Step 3: Cross multiply
    783.26x = 1,080.30 × 468.50
  4. Step 4: Simplify right side
    783.26x = 506,115.15
  5. Step 5: Solve for x
    x = 506,115.15/783.26
  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.