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Finding the Fourth Proportional to 1,225.40, 1,690.88 and 727.84

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Solution

The fourth proportional to 1,225.40, 1,690.88 and 727.84 is: 1,004.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.40 : 1,690.88 = 727.84 : x
  2. Step 2: Convert to fraction form
    1,225.40/1,690.88 = 727.84/x
  3. Step 3: Cross multiply
    1,225.40x = 1,690.88 × 727.84
  4. Step 4: Simplify right side
    1,225.40x = 1,230,690.10
  5. Step 5: Solve for x
    x = 1,230,690.10/1,225.40
  6. Step 6: Final answer
    x = 1,004.32

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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.