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Finding the Fourth Proportional to 784.88, 1,083.14 and 435.58

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Solution

The fourth proportional to 784.88, 1,083.14 and 435.58 is: 601.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.88 : 1,083.14 = 435.58 : x
  2. Step 2: Convert to fraction form
    784.88/1,083.14 = 435.58/x
  3. Step 3: Cross multiply
    784.88x = 1,083.14 × 435.58
  4. Step 4: Simplify right side
    784.88x = 471,794.12
  5. Step 5: Solve for x
    x = 471,794.12/784.88
  6. Step 6: Final answer
    x = 601.10

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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.