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Finding the Fourth Proportional to 1,026.02, 1,538.75 and 295.62

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Solution

The fourth proportional to 1,026.02, 1,538.75 and 295.62 is: 443.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.02 : 1,538.75 = 295.62 : x
  2. Step 2: Convert to fraction form
    1,026.02/1,538.75 = 295.62/x
  3. Step 3: Cross multiply
    1,026.02x = 1,538.75 × 295.62
  4. Step 4: Simplify right side
    1,026.02x = 454,885.28
  5. Step 5: Solve for x
    x = 454,885.28/1,026.02
  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.