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Finding the Fourth Proportional to 1,060.02, 1,462.40 and 661.40

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Solution

The fourth proportional to 1,060.02, 1,462.40 and 661.40 is: 912.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.02 : 1,462.40 = 661.40 : x
  2. Step 2: Convert to fraction form
    1,060.02/1,462.40 = 661.40/x
  3. Step 3: Cross multiply
    1,060.02x = 1,462.40 × 661.40
  4. Step 4: Simplify right side
    1,060.02x = 967,231.36
  5. Step 5: Solve for x
    x = 967,231.36/1,060.02
  6. Step 6: Final answer
    x = 912.47

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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.