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Finding the Fourth Proportional to 983.04, 1,473.72 and 520.56

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Solution

The fourth proportional to 983.04, 1,473.72 and 520.56 is: 780.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.04 : 1,473.72 = 520.56 : x
  2. Step 2: Convert to fraction form
    983.04/1,473.72 = 520.56/x
  3. Step 3: Cross multiply
    983.04x = 1,473.72 × 520.56
  4. Step 4: Simplify right side
    983.04x = 767,159.68
  5. Step 5: Solve for x
    x = 767,159.68/983.04
  6. Step 6: Final answer
    x = 780.40

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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.