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Finding the Fourth Proportional to 1,153.96, 1,730.96 and 332.24

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Solution

The fourth proportional to 1,153.96, 1,730.96 and 332.24 is: 498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.96 : 1,730.96 = 332.24 : x
  2. Step 2: Convert to fraction form
    1,153.96/1,730.96 = 332.24/x
  3. Step 3: Cross multiply
    1,153.96x = 1,730.96 × 332.24
  4. Step 4: Simplify right side
    1,153.96x = 575,094.15
  5. Step 5: Solve for x
    x = 575,094.15/1,153.96
  6. Step 6: Final answer
    x = 498.37

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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.