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Finding the Fourth Proportional to 1,118.68, 1,677.66 and 533.62

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Solution

The fourth proportional to 1,118.68, 1,677.66 and 533.62 is: 800.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.68 : 1,677.66 = 533.62 : x
  2. Step 2: Convert to fraction form
    1,118.68/1,677.66 = 533.62/x
  3. Step 3: Cross multiply
    1,118.68x = 1,677.66 × 533.62
  4. Step 4: Simplify right side
    1,118.68x = 895,232.93
  5. Step 5: Solve for x
    x = 895,232.93/1,118.68
  6. Step 6: Final answer
    x = 800.26

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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.