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Finding the Fourth Proportional to 1,154.05, 1,731.13 and 332.34

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Solution

The fourth proportional to 1,154.05, 1,731.13 and 332.34 is: 498.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.05 : 1,731.13 = 332.34 : x
  2. Step 2: Convert to fraction form
    1,154.05/1,731.13 = 332.34/x
  3. Step 3: Cross multiply
    1,154.05x = 1,731.13 × 332.34
  4. Step 4: Simplify right side
    1,154.05x = 575,323.74
  5. Step 5: Solve for x
    x = 575,323.74/1,154.05
  6. Step 6: Final answer
    x = 498.53

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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.