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Finding the Fourth Proportional to 1,705.55, 2,558.43 and 535.60

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Solution

The fourth proportional to 1,705.55, 2,558.43 and 535.60 is: 803.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.55 : 2,558.43 = 535.60 : x
  2. Step 2: Convert to fraction form
    1,705.55/2,558.43 = 535.60/x
  3. Step 3: Cross multiply
    1,705.55x = 2,558.43 × 535.60
  4. Step 4: Simplify right side
    1,705.55x = 1,370,283.91
  5. Step 5: Solve for x
    x = 1,370,283.91/1,705.55
  6. Step 6: Final answer
    x = 803.43

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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.