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Finding the Fourth Proportional to 1,026.05, 1,538.72 and 295.64

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Solution

The fourth proportional to 1,026.05, 1,538.72 and 295.64 is: 443.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.05 : 1,538.72 = 295.64 : x
  2. Step 2: Convert to fraction form
    1,026.05/1,538.72 = 295.64/x
  3. Step 3: Cross multiply
    1,026.05x = 1,538.72 × 295.64
  4. Step 4: Simplify right side
    1,026.05x = 454,898.01
  5. Step 5: Solve for x
    x = 454,898.01/1,026.05
  6. Step 6: Final answer
    x = 443.35

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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.