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Finding the Fourth Proportional to 1,153.80, 1,730.36 and 332.10

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Solution

The fourth proportional to 1,153.80, 1,730.36 and 332.10 is: 498.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.80 : 1,730.36 = 332.10 : x
  2. Step 2: Convert to fraction form
    1,153.80/1,730.36 = 332.10/x
  3. Step 3: Cross multiply
    1,153.80x = 1,730.36 × 332.10
  4. Step 4: Simplify right side
    1,153.80x = 574,652.56
  5. Step 5: Solve for x
    x = 574,652.56/1,153.80
  6. Step 6: Final answer
    x = 498.05

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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.