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Finding the Fourth Proportional to 1,039.42, 1,559.13 and 976.06

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Solution

The fourth proportional to 1,039.42, 1,559.13 and 976.06 is: 1,464.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.42 : 1,559.13 = 976.06 : x
  2. Step 2: Convert to fraction form
    1,039.42/1,559.13 = 976.06/x
  3. Step 3: Cross multiply
    1,039.42x = 1,559.13 × 976.06
  4. Step 4: Simplify right side
    1,039.42x = 1,521,804.43
  5. Step 5: Solve for x
    x = 1,521,804.43/1,039.42
  6. Step 6: Final answer
    x = 1,464.09

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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.