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Finding the Fourth Proportional to 1,445.52, 1,995.06 and 856.25

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Solution

The fourth proportional to 1,445.52, 1,995.06 and 856.25 is: 1,181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.52 : 1,995.06 = 856.25 : x
  2. Step 2: Convert to fraction form
    1,445.52/1,995.06 = 856.25/x
  3. Step 3: Cross multiply
    1,445.52x = 1,995.06 × 856.25
  4. Step 4: Simplify right side
    1,445.52x = 1,708,270.13
  5. Step 5: Solve for x
    x = 1,708,270.13/1,445.52
  6. Step 6: Final answer
    x = 1,181.77

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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.