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Finding the Fourth Proportional to 1,197.42, 1,652.58 and 731.67

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Solution

The fourth proportional to 1,197.42, 1,652.58 and 731.67 is: 1,009.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.42 : 1,652.58 = 731.67 : x
  2. Step 2: Convert to fraction form
    1,197.42/1,652.58 = 731.67/x
  3. Step 3: Cross multiply
    1,197.42x = 1,652.58 × 731.67
  4. Step 4: Simplify right side
    1,197.42x = 1,209,143.21
  5. Step 5: Solve for x
    x = 1,209,143.21/1,197.42
  6. Step 6: Final answer
    x = 1,009.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.