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Finding the Fourth Proportional to 1,020.32, 1,529.91 and 317.33

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Solution

The fourth proportional to 1,020.32, 1,529.91 and 317.33 is: 475.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.32 : 1,529.91 = 317.33 : x
  2. Step 2: Convert to fraction form
    1,020.32/1,529.91 = 317.33/x
  3. Step 3: Cross multiply
    1,020.32x = 1,529.91 × 317.33
  4. Step 4: Simplify right side
    1,020.32x = 485,486.34
  5. Step 5: Solve for x
    x = 485,486.34/1,020.32
  6. Step 6: Final answer
    x = 475.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.