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Finding the Fourth Proportional to 1,177.40, 1,624.02 and 734.72

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Solution

The fourth proportional to 1,177.40, 1,624.02 and 734.72 is: 1,013.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.40 : 1,624.02 = 734.72 : x
  2. Step 2: Convert to fraction form
    1,177.40/1,624.02 = 734.72/x
  3. Step 3: Cross multiply
    1,177.40x = 1,624.02 × 734.72
  4. Step 4: Simplify right side
    1,177.40x = 1,193,199.97
  5. Step 5: Solve for x
    x = 1,193,199.97/1,177.40
  6. Step 6: Final answer
    x = 1,013.42

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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.