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Finding the Fourth Proportional to 783, 1,080.42 and 433.64

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Solution

The fourth proportional to 783, 1,080.42 and 433.64 is: 598.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    783 : 1,080.42 = 433.64 : x
  2. Step 2: Convert to fraction form
    783/1,080.42 = 433.64/x
  3. Step 3: Cross multiply
    783x = 1,080.42 × 433.64
  4. Step 4: Simplify right side
    783x = 468,513.33
  5. Step 5: Solve for x
    x = 468,513.33/783
  6. Step 6: Final answer
    x = 598.36

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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.