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Finding the Fourth Proportional to 1,526.39, 2,289.72 and 415.82

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Solution

The fourth proportional to 1,526.39, 2,289.72 and 415.82 is: 623.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.39 : 2,289.72 = 415.82 : x
  2. Step 2: Convert to fraction form
    1,526.39/2,289.72 = 415.82/x
  3. Step 3: Cross multiply
    1,526.39x = 2,289.72 × 415.82
  4. Step 4: Simplify right side
    1,526.39x = 952,099.92
  5. Step 5: Solve for x
    x = 952,099.92/1,526.39
  6. Step 6: Final answer
    x = 623.76

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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.