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Finding the Fourth Proportional to 1,153.78, 1,730.66 and 288.09

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Solution

The fourth proportional to 1,153.78, 1,730.66 and 288.09 is: 432.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.78 : 1,730.66 = 288.09 : x
  2. Step 2: Convert to fraction form
    1,153.78/1,730.66 = 288.09/x
  3. Step 3: Cross multiply
    1,153.78x = 1,730.66 × 288.09
  4. Step 4: Simplify right side
    1,153.78x = 498,583.08
  5. Step 5: Solve for x
    x = 498,583.08/1,153.78
  6. Step 6: Final answer
    x = 432.13

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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.