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Finding the Fourth Proportional to 1,030.04, 1,544.85 and 659.67

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Solution

The fourth proportional to 1,030.04, 1,544.85 and 659.67 is: 989.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.04 : 1,544.85 = 659.67 : x
  2. Step 2: Convert to fraction form
    1,030.04/1,544.85 = 659.67/x
  3. Step 3: Cross multiply
    1,030.04x = 1,544.85 × 659.67
  4. Step 4: Simplify right side
    1,030.04x = 1,019,091.20
  5. Step 5: Solve for x
    x = 1,019,091.20/1,030.04
  6. Step 6: Final answer
    x = 989.38

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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.