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Finding the Fourth Proportional to 1,194.85, 1,649.00 and 697.65

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Solution

The fourth proportional to 1,194.85, 1,649.00 and 697.65 is: 962.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.85 : 1,649.00 = 697.65 : x
  2. Step 2: Convert to fraction form
    1,194.85/1,649.00 = 697.65/x
  3. Step 3: Cross multiply
    1,194.85x = 1,649.00 × 697.65
  4. Step 4: Simplify right side
    1,194.85x = 1,150,421.12
  5. Step 5: Solve for x
    x = 1,150,421.12/1,194.85
  6. Step 6: Final answer
    x = 962.82

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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.