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Finding the Fourth Proportional to 1,176.40, 1,622.89 and 678.86

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Solution

The fourth proportional to 1,176.40, 1,622.89 and 678.86 is: 936.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.40 : 1,622.89 = 678.86 : x
  2. Step 2: Convert to fraction form
    1,176.40/1,622.89 = 678.86/x
  3. Step 3: Cross multiply
    1,176.40x = 1,622.89 × 678.86
  4. Step 4: Simplify right side
    1,176.40x = 1,101,715.11
  5. Step 5: Solve for x
    x = 1,101,715.11/1,176.40
  6. Step 6: Final answer
    x = 936.51

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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.