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Finding the Fourth Proportional to 1,154.57, 1,730.67 and 460.30

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Solution

The fourth proportional to 1,154.57, 1,730.67 and 460.30 is: 689.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.57 : 1,730.67 = 460.30 : x
  2. Step 2: Convert to fraction form
    1,154.57/1,730.67 = 460.30/x
  3. Step 3: Cross multiply
    1,154.57x = 1,730.67 × 460.30
  4. Step 4: Simplify right side
    1,154.57x = 796,627.40
  5. Step 5: Solve for x
    x = 796,627.40/1,154.57
  6. Step 6: Final answer
    x = 689.98

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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.