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Finding the Fourth Proportional to 1,197.49, 1,652.53 and 673.52

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Solution

The fourth proportional to 1,197.49, 1,652.53 and 673.52 is: 929.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.49 : 1,652.53 = 673.52 : x
  2. Step 2: Convert to fraction form
    1,197.49/1,652.53 = 673.52/x
  3. Step 3: Cross multiply
    1,197.49x = 1,652.53 × 673.52
  4. Step 4: Simplify right side
    1,197.49x = 1,113,012.01
  5. Step 5: Solve for x
    x = 1,113,012.01/1,197.49
  6. Step 6: Final answer
    x = 929.46

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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.