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Finding the Fourth Proportional to 1,316.76, 1,975.34 and 623.80

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Solution

The fourth proportional to 1,316.76, 1,975.34 and 623.80 is: 935.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.76 : 1,975.34 = 623.80 : x
  2. Step 2: Convert to fraction form
    1,316.76/1,975.34 = 623.80/x
  3. Step 3: Cross multiply
    1,316.76x = 1,975.34 × 623.80
  4. Step 4: Simplify right side
    1,316.76x = 1,232,217.61
  5. Step 5: Solve for x
    x = 1,232,217.61/1,316.76
  6. Step 6: Final answer
    x = 935.80

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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.