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Finding the Fourth Proportional to 1,766.19, 2,649.75 and 533.58

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Solution

The fourth proportional to 1,766.19, 2,649.75 and 533.58 is: 800.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.19 : 2,649.75 = 533.58 : x
  2. Step 2: Convert to fraction form
    1,766.19/2,649.75 = 533.58/x
  3. Step 3: Cross multiply
    1,766.19x = 2,649.75 × 533.58
  4. Step 4: Simplify right side
    1,766.19x = 1,413,853.61
  5. Step 5: Solve for x
    x = 1,413,853.61/1,766.19
  6. Step 6: Final answer
    x = 800.51

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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.