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Finding the Fourth Proportional to 784.44, 1,082.54 and 435.13

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Solution

The fourth proportional to 784.44, 1,082.54 and 435.13 is: 600.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.44 : 1,082.54 = 435.13 : x
  2. Step 2: Convert to fraction form
    784.44/1,082.54 = 435.13/x
  3. Step 3: Cross multiply
    784.44x = 1,082.54 × 435.13
  4. Step 4: Simplify right side
    784.44x = 471,045.63
  5. Step 5: Solve for x
    x = 471,045.63/784.44
  6. Step 6: Final answer
    x = 600.49

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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.