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Finding the Fourth Proportional to 1,316.16, 1,973.22 and 852.96

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Solution

The fourth proportional to 1,316.16, 1,973.22 and 852.96 is: 1,278.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.16 : 1,973.22 = 852.96 : x
  2. Step 2: Convert to fraction form
    1,316.16/1,973.22 = 852.96/x
  3. Step 3: Cross multiply
    1,316.16x = 1,973.22 × 852.96
  4. Step 4: Simplify right side
    1,316.16x = 1,683,077.73
  5. Step 5: Solve for x
    x = 1,683,077.73/1,316.16
  6. Step 6: Final answer
    x = 1,278.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.