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Finding the Fourth Proportional to 830.96, 1,146.56 and 476.88

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Solution

The fourth proportional to 830.96, 1,146.56 and 476.88 is: 658.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.96 : 1,146.56 = 476.88 : x
  2. Step 2: Convert to fraction form
    830.96/1,146.56 = 476.88/x
  3. Step 3: Cross multiply
    830.96x = 1,146.56 × 476.88
  4. Step 4: Simplify right side
    830.96x = 546,771.53
  5. Step 5: Solve for x
    x = 546,771.53/830.96
  6. Step 6: Final answer
    x = 658.00

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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.