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Finding the Fourth Proportional to 1,039.47, 1,559.27 and 390.21

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Solution

The fourth proportional to 1,039.47, 1,559.27 and 390.21 is: 585.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.47 : 1,559.27 = 390.21 : x
  2. Step 2: Convert to fraction form
    1,039.47/1,559.27 = 390.21/x
  3. Step 3: Cross multiply
    1,039.47x = 1,559.27 × 390.21
  4. Step 4: Simplify right side
    1,039.47x = 608,440.80
  5. Step 5: Solve for x
    x = 608,440.80/1,039.47
  6. Step 6: Final answer
    x = 585.34

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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.