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Finding the Fourth Proportional to 1,026.47, 1,539.81 and 478.82

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Solution

The fourth proportional to 1,026.47, 1,539.81 and 478.82 is: 718.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.47 : 1,539.81 = 478.82 : x
  2. Step 2: Convert to fraction form
    1,026.47/1,539.81 = 478.82/x
  3. Step 3: Cross multiply
    1,026.47x = 1,539.81 × 478.82
  4. Step 4: Simplify right side
    1,026.47x = 737,284.13
  5. Step 5: Solve for x
    x = 737,284.13/1,026.47
  6. Step 6: Final answer
    x = 718.27

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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.