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Finding the Fourth Proportional to 1,176.77, 1,624.26 and 734.41

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Solution

The fourth proportional to 1,176.77, 1,624.26 and 734.41 is: 1,013.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.77 : 1,624.26 = 734.41 : x
  2. Step 2: Convert to fraction form
    1,176.77/1,624.26 = 734.41/x
  3. Step 3: Cross multiply
    1,176.77x = 1,624.26 × 734.41
  4. Step 4: Simplify right side
    1,176.77x = 1,192,864.67
  5. Step 5: Solve for x
    x = 1,192,864.67/1,176.77
  6. Step 6: Final answer
    x = 1,013.68

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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.