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Finding the Fourth Proportional to 1,283.29, 1,924.94 and 417.67

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Solution

The fourth proportional to 1,283.29, 1,924.94 and 417.67 is: 626.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.29 : 1,924.94 = 417.67 : x
  2. Step 2: Convert to fraction form
    1,283.29/1,924.94 = 417.67/x
  3. Step 3: Cross multiply
    1,283.29x = 1,924.94 × 417.67
  4. Step 4: Simplify right side
    1,283.29x = 803,989.69
  5. Step 5: Solve for x
    x = 803,989.69/1,283.29
  6. Step 6: Final answer
    x = 626.51

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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.