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Finding the Fourth Proportional to 1,026.87, 1,538.01 and 478.23

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Solution

The fourth proportional to 1,026.87, 1,538.01 and 478.23 is: 716.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.87 : 1,538.01 = 478.23 : x
  2. Step 2: Convert to fraction form
    1,026.87/1,538.01 = 478.23/x
  3. Step 3: Cross multiply
    1,026.87x = 1,538.01 × 478.23
  4. Step 4: Simplify right side
    1,026.87x = 735,522.52
  5. Step 5: Solve for x
    x = 735,522.52/1,026.87
  6. Step 6: Final answer
    x = 716.28

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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.