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Finding the Fourth Proportional to 900.07, 1,349.60 and 460.82

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Solution

The fourth proportional to 900.07, 1,349.60 and 460.82 is: 690.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.07 : 1,349.60 = 460.82 : x
  2. Step 2: Convert to fraction form
    900.07/1,349.60 = 460.82/x
  3. Step 3: Cross multiply
    900.07x = 1,349.60 × 460.82
  4. Step 4: Simplify right side
    900.07x = 621,923.74
  5. Step 5: Solve for x
    x = 621,923.74/900.07
  6. Step 6: Final answer
    x = 690.97

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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.