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Finding the Fourth Proportional to 1,153.82, 1,730.70 and 288.14

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Solution

The fourth proportional to 1,153.82, 1,730.70 and 288.14 is: 432.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.82 : 1,730.70 = 288.14 : x
  2. Step 2: Convert to fraction form
    1,153.82/1,730.70 = 288.14/x
  3. Step 3: Cross multiply
    1,153.82x = 1,730.70 × 288.14
  4. Step 4: Simplify right side
    1,153.82x = 498,683.90
  5. Step 5: Solve for x
    x = 498,683.90/1,153.82
  6. Step 6: Final answer
    x = 432.20

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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.