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Finding the Fourth Proportional to 783.03, 1,080.62 and 433.74

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Solution

The fourth proportional to 783.03, 1,080.62 and 433.74 is: 598.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.03 : 1,080.62 = 433.74 : x
  2. Step 2: Convert to fraction form
    783.03/1,080.62 = 433.74/x
  3. Step 3: Cross multiply
    783.03x = 1,080.62 × 433.74
  4. Step 4: Simplify right side
    783.03x = 468,708.12
  5. Step 5: Solve for x
    x = 468,708.12/783.03
  6. Step 6: Final answer
    x = 598.58

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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.