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Finding the Fourth Proportional to 1,197.59, 1,653.50 and 749.63

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Solution

The fourth proportional to 1,197.59, 1,653.50 and 749.63 is: 1,035.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.59 : 1,653.50 = 749.63 : x
  2. Step 2: Convert to fraction form
    1,197.59/1,653.50 = 749.63/x
  3. Step 3: Cross multiply
    1,197.59x = 1,653.50 × 749.63
  4. Step 4: Simplify right side
    1,197.59x = 1,239,519.21
  5. Step 5: Solve for x
    x = 1,239,519.21/1,197.59
  6. Step 6: Final answer
    x = 1,035.02

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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.