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Finding the Fourth Proportional to 783.23, 1,080.90 and 433.92

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Solution

The fourth proportional to 783.23, 1,080.90 and 433.92 is: 598.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.23 : 1,080.90 = 433.92 : x
  2. Step 2: Convert to fraction form
    783.23/1,080.90 = 433.92/x
  3. Step 3: Cross multiply
    783.23x = 1,080.90 × 433.92
  4. Step 4: Simplify right side
    783.23x = 469,024.13
  5. Step 5: Solve for x
    x = 469,024.13/783.23
  6. Step 6: Final answer
    x = 598.83

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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.