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Finding the Fourth Proportional to 782.36, 1,079.64 and 433.05

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Solution

The fourth proportional to 782.36, 1,079.64 and 433.05 is: 597.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.36 : 1,079.64 = 433.05 : x
  2. Step 2: Convert to fraction form
    782.36/1,079.64 = 433.05/x
  3. Step 3: Cross multiply
    782.36x = 1,079.64 × 433.05
  4. Step 4: Simplify right side
    782.36x = 467,538.10
  5. Step 5: Solve for x
    x = 467,538.10/782.36
  6. Step 6: Final answer
    x = 597.60

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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.