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Finding the Fourth Proportional to 1,146.75, 1,719.54 and 488.46

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Solution

The fourth proportional to 1,146.75, 1,719.54 and 488.46 is: 732.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.75 : 1,719.54 = 488.46 : x
  2. Step 2: Convert to fraction form
    1,146.75/1,719.54 = 488.46/x
  3. Step 3: Cross multiply
    1,146.75x = 1,719.54 × 488.46
  4. Step 4: Simplify right side
    1,146.75x = 839,926.51
  5. Step 5: Solve for x
    x = 839,926.51/1,146.75
  6. Step 6: Final answer
    x = 732.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.