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Finding the Fourth Proportional to 1,000.99, 1,499.66 and 738.10

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Solution

The fourth proportional to 1,000.99, 1,499.66 and 738.10 is: 1,105.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.99 : 1,499.66 = 738.10 : x
  2. Step 2: Convert to fraction form
    1,000.99/1,499.66 = 738.10/x
  3. Step 3: Cross multiply
    1,000.99x = 1,499.66 × 738.10
  4. Step 4: Simplify right side
    1,000.99x = 1,106,897.14
  5. Step 5: Solve for x
    x = 1,106,897.14/1,000.99
  6. Step 6: Final answer
    x = 1,105.81

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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.