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Finding the Fourth Proportional to 1,202.30, 1,801.65 and 1,018.70

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Solution

The fourth proportional to 1,202.30, 1,801.65 and 1,018.70 is: 1,526.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.30 : 1,801.65 = 1,018.70 : x
  2. Step 2: Convert to fraction form
    1,202.30/1,801.65 = 1,018.70/x
  3. Step 3: Cross multiply
    1,202.30x = 1,801.65 × 1,018.70
  4. Step 4: Simplify right side
    1,202.30x = 1,835,340.86
  5. Step 5: Solve for x
    x = 1,835,340.86/1,202.30
  6. Step 6: Final answer
    x = 1,526.52

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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.