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Finding the Fourth Proportional to 1,580.36, 2,369.91 and 655.29

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Solution

The fourth proportional to 1,580.36, 2,369.91 and 655.29 is: 982.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.36 : 2,369.91 = 655.29 : x
  2. Step 2: Convert to fraction form
    1,580.36/2,369.91 = 655.29/x
  3. Step 3: Cross multiply
    1,580.36x = 2,369.91 × 655.29
  4. Step 4: Simplify right side
    1,580.36x = 1,552,977.10
  5. Step 5: Solve for x
    x = 1,552,977.10/1,580.36
  6. Step 6: Final answer
    x = 982.67

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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.