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Finding the Fourth Proportional to 1,039.09, 1,557.42 and 460.75

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Solution

The fourth proportional to 1,039.09, 1,557.42 and 460.75 is: 690.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.09 : 1,557.42 = 460.75 : x
  2. Step 2: Convert to fraction form
    1,039.09/1,557.42 = 460.75/x
  3. Step 3: Cross multiply
    1,039.09x = 1,557.42 × 460.75
  4. Step 4: Simplify right side
    1,039.09x = 717,581.27
  5. Step 5: Solve for x
    x = 717,581.27/1,039.09
  6. Step 6: Final answer
    x = 690.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.