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Finding the Fourth Proportional to 1,062.72, 1,466.56 and 669.92

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Solution

The fourth proportional to 1,062.72, 1,466.56 and 669.92 is: 924.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.72 : 1,466.56 = 669.92 : x
  2. Step 2: Convert to fraction form
    1,062.72/1,466.56 = 669.92/x
  3. Step 3: Cross multiply
    1,062.72x = 1,466.56 × 669.92
  4. Step 4: Simplify right side
    1,062.72x = 982,477.88
  5. Step 5: Solve for x
    x = 982,477.88/1,062.72
  6. Step 6: Final answer
    x = 924.49

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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.