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Finding the Fourth Proportional to 1,445.76, 1,995.57 and 856.49

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Solution

The fourth proportional to 1,445.76, 1,995.57 and 856.49 is: 1,182.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.76 : 1,995.57 = 856.49 : x
  2. Step 2: Convert to fraction form
    1,445.76/1,995.57 = 856.49/x
  3. Step 3: Cross multiply
    1,445.76x = 1,995.57 × 856.49
  4. Step 4: Simplify right side
    1,445.76x = 1,709,175.77
  5. Step 5: Solve for x
    x = 1,709,175.77/1,445.76
  6. Step 6: Final answer
    x = 1,182.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.