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Finding the Fourth Proportional to 816.67, 1,127.40 and 626.05

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Solution

The fourth proportional to 816.67, 1,127.40 and 626.05 is: 864.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.67 : 1,127.40 = 626.05 : x
  2. Step 2: Convert to fraction form
    816.67/1,127.40 = 626.05/x
  3. Step 3: Cross multiply
    816.67x = 1,127.40 × 626.05
  4. Step 4: Simplify right side
    816.67x = 705,808.77
  5. Step 5: Solve for x
    x = 705,808.77/816.67
  6. Step 6: Final answer
    x = 864.25

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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.