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Finding the Fourth Proportional to 1,200.90, 1,801.36 and 431.40

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Solution

The fourth proportional to 1,200.90, 1,801.36 and 431.40 is: 647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.90 : 1,801.36 = 431.40 : x
  2. Step 2: Convert to fraction form
    1,200.90/1,801.36 = 431.40/x
  3. Step 3: Cross multiply
    1,200.90x = 1,801.36 × 431.40
  4. Step 4: Simplify right side
    1,200.90x = 777,106.70
  5. Step 5: Solve for x
    x = 777,106.70/1,200.90
  6. Step 6: Final answer
    x = 647.10

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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.