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Finding the Fourth Proportional to 685.02, 1,027.53 and 458.46

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Solution

The fourth proportional to 685.02, 1,027.53 and 458.46 is: 687.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.02 : 1,027.53 = 458.46 : x
  2. Step 2: Convert to fraction form
    685.02/1,027.53 = 458.46/x
  3. Step 3: Cross multiply
    685.02x = 1,027.53 × 458.46
  4. Step 4: Simplify right side
    685.02x = 471,081.40
  5. Step 5: Solve for x
    x = 471,081.40/685.02
  6. Step 6: Final answer
    x = 687.69

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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.