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Finding the Fourth Proportional to 784.84, 1,083.14 and 435.52

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Solution

The fourth proportional to 784.84, 1,083.14 and 435.52 is: 601.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.84 : 1,083.14 = 435.52 : x
  2. Step 2: Convert to fraction form
    784.84/1,083.14 = 435.52/x
  3. Step 3: Cross multiply
    784.84x = 1,083.14 × 435.52
  4. Step 4: Simplify right side
    784.84x = 471,729.13
  5. Step 5: Solve for x
    x = 471,729.13/784.84
  6. Step 6: Final answer
    x = 601.05

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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.