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Finding the Fourth Proportional to 1,015.47, 1,523.14 and 322.11

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Solution

The fourth proportional to 1,015.47, 1,523.14 and 322.11 is: 483.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.47 : 1,523.14 = 322.11 : x
  2. Step 2: Convert to fraction form
    1,015.47/1,523.14 = 322.11/x
  3. Step 3: Cross multiply
    1,015.47x = 1,523.14 × 322.11
  4. Step 4: Simplify right side
    1,015.47x = 490,617.82
  5. Step 5: Solve for x
    x = 490,617.82/1,015.47
  6. Step 6: Final answer
    x = 483.14

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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.