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Finding the Fourth Proportional to 1,154.30, 1,730.38 and 460.80

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Solution

The fourth proportional to 1,154.30, 1,730.38 and 460.80 is: 690.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.30 : 1,730.38 = 460.80 : x
  2. Step 2: Convert to fraction form
    1,154.30/1,730.38 = 460.80/x
  3. Step 3: Cross multiply
    1,154.30x = 1,730.38 × 460.80
  4. Step 4: Simplify right side
    1,154.30x = 797,359.10
  5. Step 5: Solve for x
    x = 797,359.10/1,154.30
  6. Step 6: Final answer
    x = 690.77

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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.