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Finding the Fourth Proportional to 1,146.36, 1,719.68 and 452.94

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Solution

The fourth proportional to 1,146.36, 1,719.68 and 452.94 is: 679.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.36 : 1,719.68 = 452.94 : x
  2. Step 2: Convert to fraction form
    1,146.36/1,719.68 = 452.94/x
  3. Step 3: Cross multiply
    1,146.36x = 1,719.68 × 452.94
  4. Step 4: Simplify right side
    1,146.36x = 778,909.59
  5. Step 5: Solve for x
    x = 778,909.59/1,146.36
  6. Step 6: Final answer
    x = 679.46

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