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Finding the Fourth Proportional to 784.50, 1,082.64 and 435.24

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Solution

The fourth proportional to 784.50, 1,082.64 and 435.24 is: 600.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.50 : 1,082.64 = 435.24 : x
  2. Step 2: Convert to fraction form
    784.50/1,082.64 = 435.24/x
  3. Step 3: Cross multiply
    784.50x = 1,082.64 × 435.24
  4. Step 4: Simplify right side
    784.50x = 471,208.23
  5. Step 5: Solve for x
    x = 471,208.23/784.50
  6. Step 6: Final answer
    x = 600.65

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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.