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Finding the Fourth Proportional to 783.10, 1,080.72 and 433.78

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Solution

The fourth proportional to 783.10, 1,080.72 and 433.78 is: 598.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.10 : 1,080.72 = 433.78 : x
  2. Step 2: Convert to fraction form
    783.10/1,080.72 = 433.78/x
  3. Step 3: Cross multiply
    783.10x = 1,080.72 × 433.78
  4. Step 4: Simplify right side
    783.10x = 468,794.72
  5. Step 5: Solve for x
    x = 468,794.72/783.10
  6. Step 6: Final answer
    x = 598.64

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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.