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Finding the Fourth Proportional to 1,319.86, 1,976.16 and 856.53

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Solution

The fourth proportional to 1,319.86, 1,976.16 and 856.53 is: 1,282.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.86 : 1,976.16 = 856.53 : x
  2. Step 2: Convert to fraction form
    1,319.86/1,976.16 = 856.53/x
  3. Step 3: Cross multiply
    1,319.86x = 1,976.16 × 856.53
  4. Step 4: Simplify right side
    1,319.86x = 1,692,640.32
  5. Step 5: Solve for x
    x = 1,692,640.32/1,319.86
  6. Step 6: Final answer
    x = 1,282.44

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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.