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Finding the Fourth Proportional to 1,193.68, 1,646.58 and 750.88

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Solution

The fourth proportional to 1,193.68, 1,646.58 and 750.88 is: 1,035.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.68 : 1,646.58 = 750.88 : x
  2. Step 2: Convert to fraction form
    1,193.68/1,646.58 = 750.88/x
  3. Step 3: Cross multiply
    1,193.68x = 1,646.58 × 750.88
  4. Step 4: Simplify right side
    1,193.68x = 1,236,383.99
  5. Step 5: Solve for x
    x = 1,236,383.99/1,193.68
  6. Step 6: Final answer
    x = 1,035.78

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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.