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Finding the Fourth Proportional to 1,161.64, 1,742.50 and 339.83

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Solution

The fourth proportional to 1,161.64, 1,742.50 and 339.83 is: 509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.64 : 1,742.50 = 339.83 : x
  2. Step 2: Convert to fraction form
    1,161.64/1,742.50 = 339.83/x
  3. Step 3: Cross multiply
    1,161.64x = 1,742.50 × 339.83
  4. Step 4: Simplify right side
    1,161.64x = 592,153.78
  5. Step 5: Solve for x
    x = 592,153.78/1,161.64
  6. Step 6: Final answer
    x = 509.76

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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.