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Finding the Fourth Proportional to 1,010.56, 1,515.62 and 317.14

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Solution

The fourth proportional to 1,010.56, 1,515.62 and 317.14 is: 475.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.56 : 1,515.62 = 317.14 : x
  2. Step 2: Convert to fraction form
    1,010.56/1,515.62 = 317.14/x
  3. Step 3: Cross multiply
    1,010.56x = 1,515.62 × 317.14
  4. Step 4: Simplify right side
    1,010.56x = 480,663.73
  5. Step 5: Solve for x
    x = 480,663.73/1,010.56
  6. Step 6: Final answer
    x = 475.64

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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.