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Finding the Fourth Proportional to 1,384.29, 2,077.04 and 653.67

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Solution

The fourth proportional to 1,384.29, 2,077.04 and 653.67 is: 980.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.29 : 2,077.04 = 653.67 : x
  2. Step 2: Convert to fraction form
    1,384.29/2,077.04 = 653.67/x
  3. Step 3: Cross multiply
    1,384.29x = 2,077.04 × 653.67
  4. Step 4: Simplify right side
    1,384.29x = 1,357,700.37
  5. Step 5: Solve for x
    x = 1,357,700.37/1,384.29
  6. Step 6: Final answer
    x = 980.79

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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.