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Finding the Fourth Proportional to 1,039.04, 1,559.64 and 462.32

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Solution

The fourth proportional to 1,039.04, 1,559.64 and 462.32 is: 693.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.04 : 1,559.64 = 462.32 : x
  2. Step 2: Convert to fraction form
    1,039.04/1,559.64 = 462.32/x
  3. Step 3: Cross multiply
    1,039.04x = 1,559.64 × 462.32
  4. Step 4: Simplify right side
    1,039.04x = 721,052.76
  5. Step 5: Solve for x
    x = 721,052.76/1,039.04
  6. Step 6: Final answer
    x = 693.96

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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.