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Finding the Fourth Proportional to 1,022.40, 1,533.87 and 714.60

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Solution

The fourth proportional to 1,022.40, 1,533.87 and 714.60 is: 1,072.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.40 : 1,533.87 = 714.60 : x
  2. Step 2: Convert to fraction form
    1,022.40/1,533.87 = 714.60/x
  3. Step 3: Cross multiply
    1,022.40x = 1,533.87 × 714.60
  4. Step 4: Simplify right side
    1,022.40x = 1,096,103.50
  5. Step 5: Solve for x
    x = 1,096,103.50/1,022.40
  6. Step 6: Final answer
    x = 1,072.09

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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.