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Finding the Fourth Proportional to 1,161.54, 1,742.46 and 431.02

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Solution

The fourth proportional to 1,161.54, 1,742.46 and 431.02 is: 646.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.54 : 1,742.46 = 431.02 : x
  2. Step 2: Convert to fraction form
    1,161.54/1,742.46 = 431.02/x
  3. Step 3: Cross multiply
    1,161.54x = 1,742.46 × 431.02
  4. Step 4: Simplify right side
    1,161.54x = 751,038.10
  5. Step 5: Solve for x
    x = 751,038.10/1,161.54
  6. Step 6: Final answer
    x = 646.59

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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.