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Finding the Fourth Proportional to 1,060.35, 1,462.75 and 661.69

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Solution

The fourth proportional to 1,060.35, 1,462.75 and 661.69 is: 912.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.35 : 1,462.75 = 661.69 : x
  2. Step 2: Convert to fraction form
    1,060.35/1,462.75 = 661.69/x
  3. Step 3: Cross multiply
    1,060.35x = 1,462.75 × 661.69
  4. Step 4: Simplify right side
    1,060.35x = 967,887.05
  5. Step 5: Solve for x
    x = 967,887.05/1,060.35
  6. Step 6: Final answer
    x = 912.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.