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Finding the Fourth Proportional to 696.24, 1,043.52 and 407.76

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Solution

The fourth proportional to 696.24, 1,043.52 and 407.76 is: 611.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.24 : 1,043.52 = 407.76 : x
  2. Step 2: Convert to fraction form
    696.24/1,043.52 = 407.76/x
  3. Step 3: Cross multiply
    696.24x = 1,043.52 × 407.76
  4. Step 4: Simplify right side
    696.24x = 425,505.72
  5. Step 5: Solve for x
    x = 425,505.72/696.24
  6. Step 6: Final answer
    x = 611.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.