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Finding the Fourth Proportional to 1,434.73, 2,152.23 and 460.93

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Solution

The fourth proportional to 1,434.73, 2,152.23 and 460.93 is: 691.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.73 : 2,152.23 = 460.93 : x
  2. Step 2: Convert to fraction form
    1,434.73/2,152.23 = 460.93/x
  3. Step 3: Cross multiply
    1,434.73x = 2,152.23 × 460.93
  4. Step 4: Simplify right side
    1,434.73x = 992,027.37
  5. Step 5: Solve for x
    x = 992,027.37/1,434.73
  6. Step 6: Final answer
    x = 691.44

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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.