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Finding the Fourth Proportional to 1,518.47, 2,277.62 and 530.97

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Solution

The fourth proportional to 1,518.47, 2,277.62 and 530.97 is: 796.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.47 : 2,277.62 = 530.97 : x
  2. Step 2: Convert to fraction form
    1,518.47/2,277.62 = 530.97/x
  3. Step 3: Cross multiply
    1,518.47x = 2,277.62 × 530.97
  4. Step 4: Simplify right side
    1,518.47x = 1,209,345.24
  5. Step 5: Solve for x
    x = 1,209,345.24/1,518.47
  6. Step 6: Final answer
    x = 796.43

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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.