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Finding the Fourth Proportional to 969.77, 1,455.25 and 384.67

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Solution

The fourth proportional to 969.77, 1,455.25 and 384.67 is: 577.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.77 : 1,455.25 = 384.67 : x
  2. Step 2: Convert to fraction form
    969.77/1,455.25 = 384.67/x
  3. Step 3: Cross multiply
    969.77x = 1,455.25 × 384.67
  4. Step 4: Simplify right side
    969.77x = 559,791.02
  5. Step 5: Solve for x
    x = 559,791.02/969.77
  6. Step 6: Final answer
    x = 577.24

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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.