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Finding the Fourth Proportional to 1,062.23, 1,591.98 and 856.89

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Solution

The fourth proportional to 1,062.23, 1,591.98 and 856.89 is: 1,284.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.23 : 1,591.98 = 856.89 : x
  2. Step 2: Convert to fraction form
    1,062.23/1,591.98 = 856.89/x
  3. Step 3: Cross multiply
    1,062.23x = 1,591.98 × 856.89
  4. Step 4: Simplify right side
    1,062.23x = 1,364,151.74
  5. Step 5: Solve for x
    x = 1,364,151.74/1,062.23
  6. Step 6: Final answer
    x = 1,284.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.