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Finding the Fourth Proportional to 1,062.29, 1,594.92 and 976.43

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Solution

The fourth proportional to 1,062.29, 1,594.92 and 976.43 is: 1,466.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.29 : 1,594.92 = 976.43 : x
  2. Step 2: Convert to fraction form
    1,062.29/1,594.92 = 976.43/x
  3. Step 3: Cross multiply
    1,062.29x = 1,594.92 × 976.43
  4. Step 4: Simplify right side
    1,062.29x = 1,557,327.74
  5. Step 5: Solve for x
    x = 1,557,327.74/1,062.29
  6. Step 6: Final answer
    x = 1,466.01

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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.