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Finding the Fourth Proportional to 1,025.66, 1,538.14 and 332.14

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Solution

The fourth proportional to 1,025.66, 1,538.14 and 332.14 is: 498.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.66 : 1,538.14 = 332.14 : x
  2. Step 2: Convert to fraction form
    1,025.66/1,538.14 = 332.14/x
  3. Step 3: Cross multiply
    1,025.66x = 1,538.14 × 332.14
  4. Step 4: Simplify right side
    1,025.66x = 510,868.47
  5. Step 5: Solve for x
    x = 510,868.47/1,025.66
  6. Step 6: Final answer
    x = 498.09

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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.