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Finding the Fourth Proportional to 1,197.76, 1,653.06 and 673.78

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Solution

The fourth proportional to 1,197.76, 1,653.06 and 673.78 is: 929.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.76 : 1,653.06 = 673.78 : x
  2. Step 2: Convert to fraction form
    1,197.76/1,653.06 = 673.78/x
  3. Step 3: Cross multiply
    1,197.76x = 1,653.06 × 673.78
  4. Step 4: Simplify right side
    1,197.76x = 1,113,798.77
  5. Step 5: Solve for x
    x = 1,113,798.77/1,197.76
  6. Step 6: Final answer
    x = 929.90

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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.