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Finding the Fourth Proportional to 1,325.29, 1,984.16 and 1,051.78

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Solution

The fourth proportional to 1,325.29, 1,984.16 and 1,051.78 is: 1,574.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.29 : 1,984.16 = 1,051.78 : x
  2. Step 2: Convert to fraction form
    1,325.29/1,984.16 = 1,051.78/x
  3. Step 3: Cross multiply
    1,325.29x = 1,984.16 × 1,051.78
  4. Step 4: Simplify right side
    1,325.29x = 2,086,899.00
  5. Step 5: Solve for x
    x = 2,086,899.00/1,325.29
  6. Step 6: Final answer
    x = 1,574.67

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Why These Related Problems?

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