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Finding the Fourth Proportional to 1,062.24, 1,466.64 and 713.76

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Solution

The fourth proportional to 1,062.24, 1,466.64 and 713.76 is: 985.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.24 : 1,466.64 = 713.76 : x
  2. Step 2: Convert to fraction form
    1,062.24/1,466.64 = 713.76/x
  3. Step 3: Cross multiply
    1,062.24x = 1,466.64 × 713.76
  4. Step 4: Simplify right side
    1,062.24x = 1,046,828.97
  5. Step 5: Solve for x
    x = 1,046,828.97/1,062.24
  6. Step 6: Final answer
    x = 985.49

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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.