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Finding the Fourth Proportional to 1,316.70, 1,975.15 and 768.93

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Solution

The fourth proportional to 1,316.70, 1,975.15 and 768.93 is: 1,153.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.70 : 1,975.15 = 768.93 : x
  2. Step 2: Convert to fraction form
    1,316.70/1,975.15 = 768.93/x
  3. Step 3: Cross multiply
    1,316.70x = 1,975.15 × 768.93
  4. Step 4: Simplify right side
    1,316.70x = 1,518,755.11
  5. Step 5: Solve for x
    x = 1,518,755.11/1,316.70
  6. Step 6: Final answer
    x = 1,153.46

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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.