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Finding the Fourth Proportional to 1,098.07, 1,644.04 and 750.67

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Solution

The fourth proportional to 1,098.07, 1,644.04 and 750.67 is: 1,123.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.07 : 1,644.04 = 750.67 : x
  2. Step 2: Convert to fraction form
    1,098.07/1,644.04 = 750.67/x
  3. Step 3: Cross multiply
    1,098.07x = 1,644.04 × 750.67
  4. Step 4: Simplify right side
    1,098.07x = 1,234,131.51
  5. Step 5: Solve for x
    x = 1,234,131.51/1,098.07
  6. Step 6: Final answer
    x = 1,123.91

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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.