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Finding the Fourth Proportional to 1,039.23, 1,558.81 and 346.24

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Solution

The fourth proportional to 1,039.23, 1,558.81 and 346.24 is: 519.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.23 : 1,558.81 = 346.24 : x
  2. Step 2: Convert to fraction form
    1,039.23/1,558.81 = 346.24/x
  3. Step 3: Cross multiply
    1,039.23x = 1,558.81 × 346.24
  4. Step 4: Simplify right side
    1,039.23x = 539,724.76
  5. Step 5: Solve for x
    x = 539,724.76/1,039.23
  6. Step 6: Final answer
    x = 519.35

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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.