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Finding the Fourth Proportional to 1,153.42, 1,730.11 and 287.72

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Solution

The fourth proportional to 1,153.42, 1,730.11 and 287.72 is: 431.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.42 : 1,730.11 = 287.72 : x
  2. Step 2: Convert to fraction form
    1,153.42/1,730.11 = 287.72/x
  3. Step 3: Cross multiply
    1,153.42x = 1,730.11 × 287.72
  4. Step 4: Simplify right side
    1,153.42x = 497,787.25
  5. Step 5: Solve for x
    x = 497,787.25/1,153.42
  6. Step 6: Final answer
    x = 431.58

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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.