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Finding the Fourth Proportional to 830.84, 1,146.97 and 643.91

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Solution

The fourth proportional to 830.84, 1,146.97 and 643.91 is: 888.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.84 : 1,146.97 = 643.91 : x
  2. Step 2: Convert to fraction form
    830.84/1,146.97 = 643.91/x
  3. Step 3: Cross multiply
    830.84x = 1,146.97 × 643.91
  4. Step 4: Simplify right side
    830.84x = 738,538.11
  5. Step 5: Solve for x
    x = 738,538.11/830.84
  6. Step 6: Final answer
    x = 888.91

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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.