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Finding the Fourth Proportional to 1,237.64, 1,707.96 and 678.14

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Solution

The fourth proportional to 1,237.64, 1,707.96 and 678.14 is: 935.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.64 : 1,707.96 = 678.14 : x
  2. Step 2: Convert to fraction form
    1,237.64/1,707.96 = 678.14/x
  3. Step 3: Cross multiply
    1,237.64x = 1,707.96 × 678.14
  4. Step 4: Simplify right side
    1,237.64x = 1,158,227.45
  5. Step 5: Solve for x
    x = 1,158,227.45/1,237.64
  6. Step 6: Final answer
    x = 935.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.