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Finding the Fourth Proportional to 783.04, 1,080.59 and 433.73

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Solution

The fourth proportional to 783.04, 1,080.59 and 433.73 is: 598.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.04 : 1,080.59 = 433.73 : x
  2. Step 2: Convert to fraction form
    783.04/1,080.59 = 433.73/x
  3. Step 3: Cross multiply
    783.04x = 1,080.59 × 433.73
  4. Step 4: Simplify right side
    783.04x = 468,676.73
  5. Step 5: Solve for x
    x = 468,676.73/783.04
  6. Step 6: Final answer
    x = 598.54

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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.