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Finding the Fourth Proportional to 830.63, 1,146.31 and 476.61

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Solution

The fourth proportional to 830.63, 1,146.31 and 476.61 is: 657.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.63 : 1,146.31 = 476.61 : x
  2. Step 2: Convert to fraction form
    830.63/1,146.31 = 476.61/x
  3. Step 3: Cross multiply
    830.63x = 1,146.31 × 476.61
  4. Step 4: Simplify right side
    830.63x = 546,337.32
  5. Step 5: Solve for x
    x = 546,337.32/830.63
  6. Step 6: Final answer
    x = 657.74

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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.