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Finding the Fourth Proportional to 1,193.04, 1,647.24 and 751.68

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Solution

The fourth proportional to 1,193.04, 1,647.24 and 751.68 is: 1,037.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.04 : 1,647.24 = 751.68 : x
  2. Step 2: Convert to fraction form
    1,193.04/1,647.24 = 751.68/x
  3. Step 3: Cross multiply
    1,193.04x = 1,647.24 × 751.68
  4. Step 4: Simplify right side
    1,193.04x = 1,238,197.36
  5. Step 5: Solve for x
    x = 1,238,197.36/1,193.04
  6. Step 6: Final answer
    x = 1,037.85

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1.5x scale

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.