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Finding the Fourth Proportional to 1,437.02, 2,155.34 and 463

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Solution

The fourth proportional to 1,437.02, 2,155.34 and 463 is: 694.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.02 : 2,155.34 = 463 : x
  2. Step 2: Convert to fraction form
    1,437.02/2,155.34 = 463/x
  3. Step 3: Cross multiply
    1,437.02x = 2,155.34 × 463
  4. Step 4: Simplify right side
    1,437.02x = 997,922.42
  5. Step 5: Solve for x
    x = 997,922.42/1,437.02
  6. Step 6: Final answer
    x = 694.44

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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.