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Finding the Fourth Proportional to 1,016.89, 1,525.56 and 314.17

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Solution

The fourth proportional to 1,016.89, 1,525.56 and 314.17 is: 471.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.89 : 1,525.56 = 314.17 : x
  2. Step 2: Convert to fraction form
    1,016.89/1,525.56 = 314.17/x
  3. Step 3: Cross multiply
    1,016.89x = 1,525.56 × 314.17
  4. Step 4: Simplify right side
    1,016.89x = 479,285.19
  5. Step 5: Solve for x
    x = 479,285.19/1,016.89
  6. Step 6: Final answer
    x = 471.32

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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.