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Finding the Fourth Proportional to 830.88, 1,146.54 and 476.91

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Solution

The fourth proportional to 830.88, 1,146.54 and 476.91 is: 658.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.88 : 1,146.54 = 476.91 : x
  2. Step 2: Convert to fraction form
    830.88/1,146.54 = 476.91/x
  3. Step 3: Cross multiply
    830.88x = 1,146.54 × 476.91
  4. Step 4: Simplify right side
    830.88x = 546,790.66
  5. Step 5: Solve for x
    x = 546,790.66/830.88
  6. Step 6: Final answer
    x = 658.09

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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.