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Finding the Fourth Proportional to 1,146.59, 1,719.89 and 522.29

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Solution

The fourth proportional to 1,146.59, 1,719.89 and 522.29 is: 783.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.59 : 1,719.89 = 522.29 : x
  2. Step 2: Convert to fraction form
    1,146.59/1,719.89 = 522.29/x
  3. Step 3: Cross multiply
    1,146.59x = 1,719.89 × 522.29
  4. Step 4: Simplify right side
    1,146.59x = 898,281.35
  5. Step 5: Solve for x
    x = 898,281.35/1,146.59
  6. Step 6: Final answer
    x = 783.44

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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.