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Finding the Fourth Proportional to 1,316.59, 1,975.66 and 494.84

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Solution

The fourth proportional to 1,316.59, 1,975.66 and 494.84 is: 742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.59 : 1,975.66 = 494.84 : x
  2. Step 2: Convert to fraction form
    1,316.59/1,975.66 = 494.84/x
  3. Step 3: Cross multiply
    1,316.59x = 1,975.66 × 494.84
  4. Step 4: Simplify right side
    1,316.59x = 977,639.30
  5. Step 5: Solve for x
    x = 977,639.30/1,316.59
  6. Step 6: Final answer
    x = 742.56

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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.