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Finding the Fourth Proportional to 1,174.10, 1,758.38 and 930.76

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Solution

The fourth proportional to 1,174.10, 1,758.38 and 930.76 is: 1,393.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.10 : 1,758.38 = 930.76 : x
  2. Step 2: Convert to fraction form
    1,174.10/1,758.38 = 930.76/x
  3. Step 3: Cross multiply
    1,174.10x = 1,758.38 × 930.76
  4. Step 4: Simplify right side
    1,174.10x = 1,636,620.72
  5. Step 5: Solve for x
    x = 1,636,620.72/1,174.10
  6. Step 6: Final answer
    x = 1,393.94

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