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Finding the Fourth Proportional to 1,153.95, 1,731.24 and 332.29

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Solution

The fourth proportional to 1,153.95, 1,731.24 and 332.29 is: 498.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.95 : 1,731.24 = 332.29 : x
  2. Step 2: Convert to fraction form
    1,153.95/1,731.24 = 332.29/x
  3. Step 3: Cross multiply
    1,153.95x = 1,731.24 × 332.29
  4. Step 4: Simplify right side
    1,153.95x = 575,279.37
  5. Step 5: Solve for x
    x = 575,279.37/1,153.95
  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.