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Finding the Fourth Proportional to 1,302.77, 1,954.89 and 480.93

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Solution

The fourth proportional to 1,302.77, 1,954.89 and 480.93 is: 721.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.77 : 1,954.89 = 480.93 : x
  2. Step 2: Convert to fraction form
    1,302.77/1,954.89 = 480.93/x
  3. Step 3: Cross multiply
    1,302.77x = 1,954.89 × 480.93
  4. Step 4: Simplify right side
    1,302.77x = 940,165.25
  5. Step 5: Solve for x
    x = 940,165.25/1,302.77
  6. Step 6: Final answer
    x = 721.67

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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.