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Finding the Fourth Proportional to 1,039.66, 1,559.79 and 390.45

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Solution

The fourth proportional to 1,039.66, 1,559.79 and 390.45 is: 585.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.66 : 1,559.79 = 390.45 : x
  2. Step 2: Convert to fraction form
    1,039.66/1,559.79 = 390.45/x
  3. Step 3: Cross multiply
    1,039.66x = 1,559.79 × 390.45
  4. Step 4: Simplify right side
    1,039.66x = 609,020.01
  5. Step 5: Solve for x
    x = 609,020.01/1,039.66
  6. Step 6: Final answer
    x = 585.79

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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.