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Finding the Fourth Proportional to 1,039.14, 1,558.23 and 606.42

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Solution

The fourth proportional to 1,039.14, 1,558.23 and 606.42 is: 909.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.14 : 1,558.23 = 606.42 : x
  2. Step 2: Convert to fraction form
    1,039.14/1,558.23 = 606.42/x
  3. Step 3: Cross multiply
    1,039.14x = 1,558.23 × 606.42
  4. Step 4: Simplify right side
    1,039.14x = 944,941.84
  5. Step 5: Solve for x
    x = 944,941.84/1,039.14
  6. Step 6: Final answer
    x = 909.35

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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.