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Finding the Fourth Proportional to 1,012.79, 1,518.72 and 574.04

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Solution

The fourth proportional to 1,012.79, 1,518.72 and 574.04 is: 860.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.79 : 1,518.72 = 574.04 : x
  2. Step 2: Convert to fraction form
    1,012.79/1,518.72 = 574.04/x
  3. Step 3: Cross multiply
    1,012.79x = 1,518.72 × 574.04
  4. Step 4: Simplify right side
    1,012.79x = 871,807.67
  5. Step 5: Solve for x
    x = 871,807.67/1,012.79
  6. Step 6: Final answer
    x = 860.80

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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.