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Finding the Fourth Proportional to 1,154.35, 1,731.62 and 332.63

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Solution

The fourth proportional to 1,154.35, 1,731.62 and 332.63 is: 498.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.35 : 1,731.62 = 332.63 : x
  2. Step 2: Convert to fraction form
    1,154.35/1,731.62 = 332.63/x
  3. Step 3: Cross multiply
    1,154.35x = 1,731.62 × 332.63
  4. Step 4: Simplify right side
    1,154.35x = 575,988.76
  5. Step 5: Solve for x
    x = 575,988.76/1,154.35
  6. Step 6: Final answer
    x = 498.97

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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.