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Finding the Fourth Proportional to 830.16, 1,147 and 671.30

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Solution

The fourth proportional to 830.16, 1,147 and 671.30 is: 927.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.16 : 1,147 = 671.30 : x
  2. Step 2: Convert to fraction form
    830.16/1,147 = 671.30/x
  3. Step 3: Cross multiply
    830.16x = 1,147 × 671.30
  4. Step 4: Simplify right side
    830.16x = 769,981.10
  5. Step 5: Solve for x
    x = 769,981.10/830.16
  6. Step 6: Final answer
    x = 927.51

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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.