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Finding the Fourth Proportional to 1,153.52, 1,730.40 and 576.24

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Solution

The fourth proportional to 1,153.52, 1,730.40 and 576.24 is: 864.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.52 : 1,730.40 = 576.24 : x
  2. Step 2: Convert to fraction form
    1,153.52/1,730.40 = 576.24/x
  3. Step 3: Cross multiply
    1,153.52x = 1,730.40 × 576.24
  4. Step 4: Simplify right side
    1,153.52x = 997,125.70
  5. Step 5: Solve for x
    x = 997,125.70/1,153.52
  6. Step 6: Final answer
    x = 864.42

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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.