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Finding the Fourth Proportional to 1,655.94, 2,285.19 and 899.74

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Solution

The fourth proportional to 1,655.94, 2,285.19 and 899.74 is: 1,241.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.94 : 2,285.19 = 899.74 : x
  2. Step 2: Convert to fraction form
    1,655.94/2,285.19 = 899.74/x
  3. Step 3: Cross multiply
    1,655.94x = 2,285.19 × 899.74
  4. Step 4: Simplify right side
    1,655.94x = 2,056,060.93
  5. Step 5: Solve for x
    x = 2,056,060.93/1,655.94
  6. Step 6: Final answer
    x = 1,241.63

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Why These Related Problems?

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