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Finding the Fourth Proportional to 1,026.19, 1,539.51 and 478.75

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Solution

The fourth proportional to 1,026.19, 1,539.51 and 478.75 is: 718.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.19 : 1,539.51 = 478.75 : x
  2. Step 2: Convert to fraction form
    1,026.19/1,539.51 = 478.75/x
  3. Step 3: Cross multiply
    1,026.19x = 1,539.51 × 478.75
  4. Step 4: Simplify right side
    1,026.19x = 737,040.41
  5. Step 5: Solve for x
    x = 737,040.41/1,026.19
  6. Step 6: Final answer
    x = 718.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.