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Finding the Fourth Proportional to 783.06, 1,080.66 and 433.75

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Solution

The fourth proportional to 783.06, 1,080.66 and 433.75 is: 598.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.06 : 1,080.66 = 433.75 : x
  2. Step 2: Convert to fraction form
    783.06/1,080.66 = 433.75/x
  3. Step 3: Cross multiply
    783.06x = 1,080.66 × 433.75
  4. Step 4: Simplify right side
    783.06x = 468,736.28
  5. Step 5: Solve for x
    x = 468,736.28/783.06
  6. Step 6: Final answer
    x = 598.59

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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.