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Finding the Fourth Proportional to 1,039.59, 1,559.08 and 856.53

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Solution

The fourth proportional to 1,039.59, 1,559.08 and 856.53 is: 1,284.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.59 : 1,559.08 = 856.53 : x
  2. Step 2: Convert to fraction form
    1,039.59/1,559.08 = 856.53/x
  3. Step 3: Cross multiply
    1,039.59x = 1,559.08 × 856.53
  4. Step 4: Simplify right side
    1,039.59x = 1,335,398.79
  5. Step 5: Solve for x
    x = 1,335,398.79/1,039.59
  6. Step 6: Final answer
    x = 1,284.54

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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.