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Finding the Fourth Proportional to 1,064.31, 1,593.72 and 652.19

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Solution

The fourth proportional to 1,064.31, 1,593.72 and 652.19 is: 976.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.31 : 1,593.72 = 652.19 : x
  2. Step 2: Convert to fraction form
    1,064.31/1,593.72 = 652.19/x
  3. Step 3: Cross multiply
    1,064.31x = 1,593.72 × 652.19
  4. Step 4: Simplify right side
    1,064.31x = 1,039,408.25
  5. Step 5: Solve for x
    x = 1,039,408.25/1,064.31
  6. Step 6: Final answer
    x = 976.61

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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.