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Finding the Fourth Proportional to 1,318.93, 1,976.84 and 538.45

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Solution

The fourth proportional to 1,318.93, 1,976.84 and 538.45 is: 807.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.93 : 1,976.84 = 538.45 : x
  2. Step 2: Convert to fraction form
    1,318.93/1,976.84 = 538.45/x
  3. Step 3: Cross multiply
    1,318.93x = 1,976.84 × 538.45
  4. Step 4: Simplify right side
    1,318.93x = 1,064,423.88
  5. Step 5: Solve for x
    x = 1,064,423.88/1,318.93
  6. Step 6: Final answer
    x = 807.04

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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.