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Finding the Fourth Proportional to 1,197.64, 1,652.61 and 673.57

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Solution

The fourth proportional to 1,197.64, 1,652.61 and 673.57 is: 929.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.64 : 1,652.61 = 673.57 : x
  2. Step 2: Convert to fraction form
    1,197.64/1,652.61 = 673.57/x
  3. Step 3: Cross multiply
    1,197.64x = 1,652.61 × 673.57
  4. Step 4: Simplify right side
    1,197.64x = 1,113,148.52
  5. Step 5: Solve for x
    x = 1,113,148.52/1,197.64
  6. Step 6: Final answer
    x = 929.45

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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.