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Finding the Fourth Proportional to 1,153.69, 1,730.52 and 288

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Solution

The fourth proportional to 1,153.69, 1,730.52 and 288 is: 432.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.69 : 1,730.52 = 288 : x
  2. Step 2: Convert to fraction form
    1,153.69/1,730.52 = 288/x
  3. Step 3: Cross multiply
    1,153.69x = 1,730.52 × 288
  4. Step 4: Simplify right side
    1,153.69x = 498,390.84
  5. Step 5: Solve for x
    x = 498,390.84/1,153.69
  6. Step 6: Final answer
    x = 432.00

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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.