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Finding the Fourth Proportional to 830.62, 1,144.74 and 665.38

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Solution

The fourth proportional to 830.62, 1,144.74 and 665.38 is: 917.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.62 : 1,144.74 = 665.38 : x
  2. Step 2: Convert to fraction form
    830.62/1,144.74 = 665.38/x
  3. Step 3: Cross multiply
    830.62x = 1,144.74 × 665.38
  4. Step 4: Simplify right side
    830.62x = 761,687.10
  5. Step 5: Solve for x
    x = 761,687.10/830.62
  6. Step 6: Final answer
    x = 917.01

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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.