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Finding the Fourth Proportional to 1,153.60, 1,730.48 and 332

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Solution

The fourth proportional to 1,153.60, 1,730.48 and 332 is: 498.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.60 : 1,730.48 = 332 : x
  2. Step 2: Convert to fraction form
    1,153.60/1,730.48 = 332/x
  3. Step 3: Cross multiply
    1,153.60x = 1,730.48 × 332
  4. Step 4: Simplify right side
    1,153.60x = 574,519.36
  5. Step 5: Solve for x
    x = 574,519.36/1,153.60
  6. Step 6: Final answer
    x = 498.02

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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.