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Finding the Fourth Proportional to 1,092.42, 1,507.68 and 626.67

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Solution

The fourth proportional to 1,092.42, 1,507.68 and 626.67 is: 864.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.42 : 1,507.68 = 626.67 : x
  2. Step 2: Convert to fraction form
    1,092.42/1,507.68 = 626.67/x
  3. Step 3: Cross multiply
    1,092.42x = 1,507.68 × 626.67
  4. Step 4: Simplify right side
    1,092.42x = 944,817.83
  5. Step 5: Solve for x
    x = 944,817.83/1,092.42
  6. Step 6: Final answer
    x = 864.89

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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.