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Finding the Fourth Proportional to 1,703.85, 2,555.70 and 533.80

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Solution

The fourth proportional to 1,703.85, 2,555.70 and 533.80 is: 800.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.85 : 2,555.70 = 533.80 : x
  2. Step 2: Convert to fraction form
    1,703.85/2,555.70 = 533.80/x
  3. Step 3: Cross multiply
    1,703.85x = 2,555.70 × 533.80
  4. Step 4: Simplify right side
    1,703.85x = 1,364,232.66
  5. Step 5: Solve for x
    x = 1,364,232.66/1,703.85
  6. Step 6: Final answer
    x = 800.68

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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.