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Finding the Fourth Proportional to 1,316.94, 1,976.19 and 536.88

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Solution

The fourth proportional to 1,316.94, 1,976.19 and 536.88 is: 805.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.94 : 1,976.19 = 536.88 : x
  2. Step 2: Convert to fraction form
    1,316.94/1,976.19 = 536.88/x
  3. Step 3: Cross multiply
    1,316.94x = 1,976.19 × 536.88
  4. Step 4: Simplify right side
    1,316.94x = 1,060,976.89
  5. Step 5: Solve for x
    x = 1,060,976.89/1,316.94
  6. Step 6: Final answer
    x = 805.64

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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.