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Finding the Fourth Proportional to 1,013.28, 1,518.84 and 436.20

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Solution

The fourth proportional to 1,013.28, 1,518.84 and 436.20 is: 653.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.28 : 1,518.84 = 436.20 : x
  2. Step 2: Convert to fraction form
    1,013.28/1,518.84 = 436.20/x
  3. Step 3: Cross multiply
    1,013.28x = 1,518.84 × 436.20
  4. Step 4: Simplify right side
    1,013.28x = 662,518.01
  5. Step 5: Solve for x
    x = 662,518.01/1,013.28
  6. Step 6: Final answer
    x = 653.84

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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.